diff --git a/android/app/src/main/AndroidManifest.xml b/android/app/src/main/AndroidManifest.xml
index 866122a..5eb3c07 100644
--- a/android/app/src/main/AndroidManifest.xml
+++ b/android/app/src/main/AndroidManifest.xml
@@ -7,6 +7,7 @@
     <uses-permission android:name="android.permission.MODIFY_AUDIO_SETTINGS" />
     <uses-permission android:name="android.permission.WAKE_LOCK" />
     <uses-permission android:name="android.permission.POST_NOTIFICATIONS" />
+    <uses-permission android:name="android.permission.SYSTEM_ALERT_WINDOW" />
     <uses-permission android:name="android.permission.FOREGROUND_SERVICE" />
     <uses-permission android:name="android.permission.FOREGROUND_SERVICE_MEDIA_PLAYBACK" />
     <uses-permission android:name="android.permission.FOREGROUND_SERVICE_MICROPHONE" />
diff --git a/android/app/src/main/java/com/ts3client/android/ConnectionService.kt b/android/app/src/main/java/com/ts3client/android/ConnectionService.kt
index 9a46042..f95a516 100644
--- a/android/app/src/main/java/com/ts3client/android/ConnectionService.kt
+++ b/android/app/src/main/java/com/ts3client/android/ConnectionService.kt
@@ -14,7 +14,11 @@ import androidx.lifecycle.LifecycleService
 import androidx.lifecycle.lifecycleScope
 import kotlinx.coroutines.Dispatchers
 import kotlinx.coroutines.delay
+import com.ts3client.config.Settings
+import com.ts3client.net.ClientStatus
 import kotlinx.coroutines.flow.collectLatest
+import kotlinx.coroutines.flow.combine
+import kotlinx.coroutines.flow.distinctUntilChanged
 import kotlinx.coroutines.launch
 
 /**
@@ -26,6 +30,7 @@ class ConnectionService : LifecycleService() {
     private lateinit var sessions: SessionController
     private lateinit var wifiLock: WifiManager.WifiLock
     private lateinit var wakeLock: PowerManager.WakeLock
+    private lateinit var overlay: PttOverlay
     private var foregroundTypes = 0
 
     override fun onCreate() {
@@ -54,6 +59,23 @@ class ConnectionService : LifecycleService() {
                 }
             }
         }
+
+        overlay = PttOverlay(this, sessions.icons, sessions::setPushToTalk)
+        lifecycleScope.launch {
+            combine(sessions.state, sessions.tree, sessions.onScreen, sessions.pttOverlay) { state, tree, onScreen, enabled ->
+                val wanted = enabled && !onScreen && state.connected && state.micActive &&
+                        state.inputMode == Settings.InputMode.PUSH_TO_TALK
+                val status = tree.client(state.selfClientId)?.status
+                when {
+                    !wanted -> null
+                    state.micMuted -> PttOverlay.Look.MUTED
+                    status == ClientStatus.TALKING || status == ClientStatus.COMMANDER_TALKING -> PttOverlay.Look.TALKING
+                    else -> PttOverlay.Look.IDLE
+                }
+            }.distinctUntilChanged().collect { look ->
+                if (look == null) overlay.hide() else overlay.show(look)
+            }
+        }
     }
 
     override fun onStartCommand(intent: Intent?, flags: Int, startId: Int): Int {
@@ -80,6 +102,7 @@ class ConnectionService : LifecycleService() {
     }
 
     override fun onDestroy() {
+        overlay.hide()
         wifiLock.release()
         wakeLock.release()
         super.onDestroy()
diff --git a/android/app/src/main/java/com/ts3client/android/IconTheme.kt b/android/app/src/main/java/com/ts3client/android/IconTheme.kt
index c269f8c..8fbd59b 100644
--- a/android/app/src/main/java/com/ts3client/android/IconTheme.kt
+++ b/android/app/src/main/java/com/ts3client/android/IconTheme.kt
@@ -78,8 +78,12 @@ class IconTheme(private val context: Context, private val settings: Settings) {
      *
      * @param rgb the colour for art that paints in the text colour
      */
-    fun render(keys: List<String>, size: Int, rgb: Int): Bitmap? {
-        val order = lookupOrder
+    fun render(keys: List<String>, size: Int, rgb: Int): Bitmap? = render(lookupOrder, keys, size, rgb)
+
+    /** Draws from the Material pack whatever pack is chosen, for chrome that must stay legible on its own colours. */
+    fun renderMaterial(key: String, size: Int, rgb: Int): Bitmap? = render(listOf(material), listOf(key), size, rgb)
+
+    private fun render(order: List<IconPack>, keys: List<String>, size: Int, rgb: Int): Bitmap? {
         val cacheKey = "${order.first().id()}/${keys.joinToString(",")}@$size#$rgb"
         cache.get(cacheKey)?.let { return it }
         for (key in keys) {
diff --git a/android/app/src/main/java/com/ts3client/android/PttOverlay.kt b/android/app/src/main/java/com/ts3client/android/PttOverlay.kt
new file mode 100644
index 0000000..a30849e
--- /dev/null
+++ b/android/app/src/main/java/com/ts3client/android/PttOverlay.kt
@@ -0,0 +1,176 @@
+package com.ts3client.android
+
+import android.annotation.SuppressLint
+import android.content.Context
+import android.graphics.Bitmap
+import android.graphics.Canvas
+import android.graphics.Color
+import android.graphics.Paint
+import android.graphics.PixelFormat
+import android.provider.Settings
+import android.view.Gravity
+import android.view.MotionEvent
+import android.view.View
+import android.view.ViewConfiguration
+import android.view.WindowManager
+
+/**
+ * A push-to-talk button floating over other apps. Holding it talks; a double tap whose
+ * second touch is held moves it instead, so moving never transmits more than the first tap.
+ */
+class PttOverlay(
+    private val context: Context,
+    private val icons: IconTheme,
+    private val onPressed: (Boolean) -> Unit,
+) {
+    enum class Look { IDLE, TALKING, MUTED }
+
+    private val windows = context.getSystemService(WindowManager::class.java)
+    private val prefs = context.getSharedPreferences("overlay", Context.MODE_PRIVATE)
+    private val size = (SIZE_DP * context.resources.displayMetrics.density).toInt()
+    private var button: Button? = null
+
+    /** Shows the button, or updates it when it is up; nothing while the app may not draw over others. */
+    fun show(look: Look) {
+        button?.let {
+            it.look = look
+            return
+        }
+        if (!Settings.canDrawOverlays(context)) return
+        val params = WindowManager.LayoutParams(
+            size, size,
+            WindowManager.LayoutParams.TYPE_APPLICATION_OVERLAY,
+            WindowManager.LayoutParams.FLAG_NOT_FOCUSABLE,
+            PixelFormat.TRANSLUCENT,
+        ).apply {
+            gravity = Gravity.TOP or Gravity.START
+            val screen = windows.currentWindowMetrics.bounds
+            x = prefs.getInt(POS_X, screen.width() - size - size / 4)
+            y = prefs.getInt(POS_Y, screen.height() / 2)
+        }
+        val view = Button(params).also { it.look = look }
+        try {
+            windows.addView(view, params)
+        } catch (e: WindowManager.BadTokenException) {
+            // The permission went away since the check.
+            return
+        }
+        button = view
+    }
+
+    fun hide() {
+        val view = button ?: return
+        button = null
+        view.release()
+        windows.removeView(view)
+    }
+
+    @SuppressLint("ViewConstructor")
+    private inner class Button(private val params: WindowManager.LayoutParams) : View(context) {
+
+        var look = Look.IDLE
+            set(value) {
+                field = value
+                restyle()
+            }
+
+        private val paint = Paint(Paint.ANTI_ALIAS_FLAG)
+        private val doubleTapTimeout = ViewConfiguration.getDoubleTapTimeout().toLong()
+        private var pressed = false
+        private var dragging = false
+        private var lastTapUp = 0L
+        private var grabX = 0f
+        private var grabY = 0f
+
+        init {
+            contentDescription = "Push to talk"
+            alpha = RESTING_ALPHA
+        }
+
+        /** Half see-through at rest, so it hides less of the app beneath; solid while it talks. */
+        private fun restyle() {
+            alpha = if (pressed || look == Look.TALKING) 1f else RESTING_ALPHA
+            invalidate()
+        }
+
+        override fun onDraw(canvas: Canvas) {
+            val radius = width / 2f
+            val lit = pressed || look == Look.TALKING
+            paint.color = when {
+                look == Look.MUTED -> MUTED
+                lit -> TALKING
+                else -> IDLE
+            }
+            canvas.drawCircle(radius, radius, radius, paint)
+            if (lit) {
+                paint.color = Color.WHITE
+                paint.style = Paint.Style.STROKE
+                paint.strokeWidth = radius / 12
+                canvas.drawCircle(radius, radius, radius - paint.strokeWidth, paint)
+                paint.style = Paint.Style.FILL
+            }
+            val iconSize = width / 2
+            icon(iconSize)?.let {
+                val offset = (width - iconSize) / 2f
+                canvas.drawBitmap(it, offset, offset, null)
+            }
+        }
+
+        private fun icon(size: Int): Bitmap? =
+            icons.renderMaterial(if (look == Look.MUTED) "INPUT_MUTED" else "CAPTURE", size, Color.WHITE)
+
+        @SuppressLint("ClickableViewAccessibility")
+        override fun onTouchEvent(e: MotionEvent): Boolean {
+            when (e.actionMasked) {
+                MotionEvent.ACTION_DOWN -> {
+                    dragging = e.eventTime - lastTapUp < doubleTapTimeout
+                    if (dragging) {
+                        grabX = e.rawX - params.x
+                        grabY = e.rawY - params.y
+                    } else {
+                        press(true)
+                    }
+                }
+                MotionEvent.ACTION_MOVE -> if (dragging) moveTo(e.rawX - grabX, e.rawY - grabY)
+                MotionEvent.ACTION_UP, MotionEvent.ACTION_CANCEL -> {
+                    val tap = !dragging && e.eventTime - e.downTime < doubleTapTimeout
+                    lastTapUp = if (tap) e.eventTime else 0L
+                    if (dragging) {
+                        dragging = false
+                        prefs.edit().putInt(POS_X, params.x).putInt(POS_Y, params.y).apply()
+                    } else {
+                        press(false)
+                    }
+                }
+            }
+            return true
+        }
+
+        private fun moveTo(x: Float, y: Float) {
+            val screen = windows.currentWindowMetrics.bounds
+            params.x = x.toInt().coerceIn(0, screen.width() - width)
+            params.y = y.toInt().coerceIn(0, screen.height() - height)
+            windows.updateViewLayout(this, params)
+        }
+
+        private fun press(down: Boolean) {
+            if (pressed == down) return
+            pressed = down
+            onPressed(down)
+            restyle()
+        }
+
+        /** Lets go of the microphone should the button vanish under the finger. */
+        fun release() = press(false)
+    }
+
+    private companion object {
+        const val SIZE_DP = 64
+        const val RESTING_ALPHA = 0.5f
+        const val POS_X = "x"
+        const val POS_Y = "y"
+        val IDLE = Color.rgb(0x1C, 0x6F, 0xB8)
+        val TALKING = Color.rgb(0x2E, 0x9B, 0xF0)
+        val MUTED = Color.rgb(0x42, 0x42, 0x42)
+    }
+}
diff --git a/android/app/src/main/java/com/ts3client/android/SessionController.kt b/android/app/src/main/java/com/ts3client/android/SessionController.kt
index f039caa..cb8ebfd 100644
--- a/android/app/src/main/java/com/ts3client/android/SessionController.kt
+++ b/android/app/src/main/java/com/ts3client/android/SessionController.kt
@@ -117,11 +117,14 @@ class SessionController(private val context: Context) {
             if (value is ChatKey.Private) notifier.clear(value.clientId)
         }
 
+    private val _onScreen = MutableStateFlow(false)
+    val onScreen: StateFlow<Boolean> = _onScreen
+
     /** Whether the app is on screen; pokes and private messages are notified of while it is not. */
-    @Volatile
-    var foreground = false
+    var foreground: Boolean
+        get() = _onScreen.value
         set(value) {
-            field = value
+            _onScreen.value = value
             if (value) notifier.clearPokes()
         }
 
@@ -321,6 +324,16 @@ class SessionController(private val context: Context) {
         if (session.isConnected) conn.microphone?.setPushToTalk(pressed)
     }
 
+    private val overlayPrefs = context.getSharedPreferences("overlay", Context.MODE_PRIVATE)
+    private val _pttOverlay = MutableStateFlow(overlayPrefs.getBoolean(OVERLAY_ENABLED, false))
+    /** Whether push to talk floats a button over other apps while this one is off screen. */
+    val pttOverlay: StateFlow<Boolean> = _pttOverlay
+
+    fun setPttOverlay(enabled: Boolean) {
+        overlayPrefs.edit().putBoolean(OVERLAY_ENABLED, enabled).apply()
+        _pttOverlay.value = enabled
+    }
+
     /** Saves the settings and puts the voice and device ones into effect at once. */
     fun applySettings() {
         settings.save()
@@ -551,6 +564,7 @@ class SessionController(private val context: Context) {
     private companion object {
         const val TREE_FRAME_MS = 30L
         const val DEFAULT_PORT = 9987
+        const val OVERLAY_ENABLED = "enabled"
 
         fun parseAddress(address: String): Pair<String, Int> {
             val host = address.substringBefore(':').trim()
diff --git a/android/app/src/main/java/com/ts3client/android/ui/SoundSettingsScreen.kt b/android/app/src/main/java/com/ts3client/android/ui/SoundSettingsScreen.kt
index cc462ea..6ddfe24 100644
--- a/android/app/src/main/java/com/ts3client/android/ui/SoundSettingsScreen.kt
+++ b/android/app/src/main/java/com/ts3client/android/ui/SoundSettingsScreen.kt
@@ -1,5 +1,11 @@
 package com.ts3client.android.ui
 
+import android.content.Intent
+import android.net.Uri
+import android.provider.Settings.ACTION_MANAGE_OVERLAY_PERMISSION
+import android.provider.Settings.canDrawOverlays
+import androidx.activity.compose.rememberLauncherForActivityResult
+import androidx.activity.result.contract.ActivityResultContracts
 import androidx.compose.foundation.Canvas
 import androidx.compose.foundation.layout.Column
 import androidx.compose.foundation.layout.Row
@@ -20,6 +26,7 @@ import androidx.compose.ui.Modifier
 import androidx.compose.ui.geometry.CornerRadius
 import androidx.compose.ui.geometry.Offset
 import androidx.compose.ui.geometry.Size
+import androidx.compose.ui.platform.LocalContext
 import androidx.compose.ui.unit.dp
 import androidx.lifecycle.compose.LifecycleStartEffect
 import androidx.lifecycle.compose.collectAsStateWithLifecycle
@@ -91,6 +98,7 @@ fun SoundSettingsScreen(vm: SessionController, onBack: () -> Unit) {
                     change { this.inputMode = mode }
                 }
             }
+            if (inputMode == Settings.InputMode.PUSH_TO_TALK) FloatingButtonToggle(vm)
             val gated = inputMode == Settings.InputMode.VOICE_ACTIVATION && vadMode != Settings.VadMode.AUTOMATIC
             LevelMeter(level, threshold.takeIf { gated })
             if (!level.live) {
@@ -196,6 +204,21 @@ private val VAD_MODES = listOf(
     Settings.VadMode.HYBRID to "Hybrid",
 )
 
+/** The push-to-talk button over other apps, which first needs the user to allow the app to draw there. */
+@Composable
+private fun FloatingButtonToggle(vm: SessionController) {
+    val context = LocalContext.current
+    val enabled by vm.pttOverlay.collectAsStateWithLifecycle()
+    val allow = rememberLauncherForActivityResult(ActivityResultContracts.StartActivityForResult()) {
+        if (canDrawOverlays(context)) vm.setPttOverlay(true)
+    }
+    Toggle("Floating button over other apps", enabled && canDrawOverlays(context)) { on ->
+        if (!on || canDrawOverlays(context)) vm.setPttOverlay(on)
+        else allow.launch(Intent(ACTION_MANAGE_OVERLAY_PERMISSION, Uri.parse("package:${context.packageName}")))
+    }
+    Hint("Hold it to talk. Double-tap and keep holding to drag it elsewhere.")
+}
+
 /** Picks a device by its settings id; one that is not plugged in now still shows as chosen. */
 @Composable
 private fun DevicePicker(label: String, devices: List<AudioDevice>, selected: String, onSelect: (String) -> Unit) {