diff --git a/src/vocalinux/ui/dictation_overlay.py b/src/vocalinux/ui/dictation_overlay.py
index 38beaf5..fca581e 100644
--- a/src/vocalinux/ui/dictation_overlay.py
+++ b/src/vocalinux/ui/dictation_overlay.py
@@ -11,7 +11,7 @@ from __future__ import annotations
 import logging
 import math
 from types import ModuleType
-from typing import TYPE_CHECKING, Optional
+from typing import TYPE_CHECKING, Callable, Optional
 
 if TYPE_CHECKING:
     from gi.repository import Gdk, Gtk
@@ -120,8 +120,15 @@ class DictationOverlay:
     window is passive: no keyboard focus, click-through input region.
     """
 
-    def __init__(self, enabled: bool = True) -> None:
+    def __init__(
+        self,
+        enabled: bool = True,
+        on_close_request: Optional[Callable[[], None]] = None,
+    ) -> None:
         self.controller = DictationOverlayController(enabled=enabled)
+        # Called when the dock or taskbar asks to close the window (#1028).
+        self._on_close_request = on_close_request
+        self._close_request_pending = False
         self._window: Optional[Gtk.Window] = None
         self._drawing_area: Optional[Gtk.DrawingArea] = None
         self._anim_id: Optional[int] = None
@@ -263,13 +270,34 @@ class DictationOverlay:
         destroy the window; the next recording would then map a new toplevel
         that takes focus from the editor (#1010). Disabling the overlay in
         Settings unmaps it instead.
+
+        The window stays, but the request is passed to ``on_close_request``
+        so "Quit" from the dock quits Vocalinux like the tray's Quit (#1028).
         """
-        logger.info(
-            "Ignoring a close request for the dictation overlay; "
-            "turn the overlay off in Settings to remove it"
-        )
+        if self._on_close_request is None:
+            logger.info(
+                "Ignoring a close request for the dictation overlay; "
+                "turn the overlay off in Settings to remove it"
+            )
+            return True
+        if not self._close_request_pending:
+            logger.info("Dock or taskbar asked to close the dictation overlay; quitting")
+            self._close_request_pending = True
+            self._GLib.idle_add(self._run_close_request)
         return True
 
+    def _run_close_request(self) -> bool:
+        """Run the close callback from the main loop (one-shot idle source).
+
+        ``destroy()`` drops the callback, so a request still queued when the
+        app is already quitting (tray Quit, SIGTERM) does not quit it twice.
+        """
+        self._close_request_pending = False
+        callback = self._on_close_request
+        if callback is not None:
+            callback()
+        return False
+
     def _on_size_allocate(self, widget, allocation) -> None:
         """Keep the empty input shape after size changes."""
         if widget.get_realized():
@@ -336,6 +364,8 @@ class DictationOverlay:
 
     def destroy(self) -> None:
         """Tear down animation and window."""
+        # Teardown is underway; a queued dock close must not run the callback.
+        self._on_close_request = None
         self._stop_animation()
         if self._window is not None:
             try:
diff --git a/src/vocalinux/ui/tray_indicator.py b/src/vocalinux/ui/tray_indicator.py
index 14aa5c2..81435ca 100644
--- a/src/vocalinux/ui/tray_indicator.py
+++ b/src/vocalinux/ui/tray_indicator.py
@@ -278,7 +278,11 @@ class TrayIndicator:
         # Lazy import keeps tray import light for tests that mock gi.
         from .dictation_overlay import DictationOverlay
 
-        self.overlay = DictationOverlay(enabled=self.config_manager.is_overlay_enabled())
+        # Quit from the dock closes the overlay toplevel; treat it as Quit (#1028).
+        self.overlay = DictationOverlay(
+            enabled=self.config_manager.is_overlay_enabled(),
+            on_close_request=self._quit,
+        )
         self.speech_engine.register_audio_level_callback(self.overlay.set_audio_level)
 
         # Initialize the icon files and validate resources
diff --git a/tests/test_dictation_overlay.py b/tests/test_dictation_overlay.py
index 85c7bae..72459a9 100644
--- a/tests/test_dictation_overlay.py
+++ b/tests/test_dictation_overlay.py
@@ -382,6 +382,67 @@ class TestOverlayWithMockedGtkWindow(unittest.TestCase):
         overlay._window = None
         overlay.destroy()
 
+    def test_dock_quit_runs_close_request_callback(self) -> None:
+        """Quit from GNOME's dock closes the overlay toplevel; it must quit the app (#1028)."""
+        on_close = MagicMock()
+        with patch.object(
+            DictationOverlay,
+            "_init_gtk_window",
+            side_effect=RuntimeError("gtk disabled in unit tests"),
+        ):
+            overlay = DictationOverlay(enabled=True, on_close_request=on_close)
+        mock_window = MagicMock()
+        overlay._window = mock_window
+        overlay._gtk_ready = True
+        overlay._GLib = MagicMock()
+
+        # The window is still kept alive (#1010), but the request is forwarded.
+        self.assertTrue(overlay._on_delete_event(mock_window, MagicMock()))
+        mock_window.destroy.assert_not_called()
+        overlay._GLib.idle_add.assert_called_once()
+        on_close.assert_not_called()
+
+        # A second close (the dock closes every window) is not queued twice.
+        self.assertTrue(overlay._on_delete_event(mock_window, MagicMock()))
+        overlay._GLib.idle_add.assert_called_once()
+
+        scheduled = overlay._GLib.idle_add.call_args.args[0]
+        self.assertFalse(scheduled())
+        on_close.assert_called_once_with()
+        overlay._window = None
+        overlay.destroy()
+
+    def test_queued_close_request_is_dropped_once_overlay_is_destroyed(self) -> None:
+        """A dock close queued while the app is already quitting must not quit again."""
+        on_close = MagicMock()
+        with patch.object(
+            DictationOverlay,
+            "_init_gtk_window",
+            side_effect=RuntimeError("gtk disabled in unit tests"),
+        ):
+            overlay = DictationOverlay(enabled=True, on_close_request=on_close)
+        mock_window = MagicMock()
+        overlay._window = mock_window
+        overlay._gtk_ready = True
+        overlay._GLib = MagicMock()
+
+        overlay._on_delete_event(mock_window, MagicMock())
+        scheduled = overlay._GLib.idle_add.call_args.args[0]
+
+        # Tray Quit (or SIGTERM) tears the overlay down before the idle runs.
+        overlay.destroy()
+        self.assertFalse(scheduled())
+        on_close.assert_not_called()
+
+    def test_close_request_without_callback_schedules_nothing(self) -> None:
+        overlay, mock_window = self._mock_window_overlay()
+
+        self.assertTrue(overlay._on_delete_event(mock_window, MagicMock()))
+
+        overlay._GLib.idle_add.assert_not_called()
+        overlay._window = None
+        overlay.destroy()
+
     def test_disabling_unmaps_prewarmed_window(self) -> None:
         """Turning the overlay off removes the transparent window from the dock (#1010)."""
         overlay, mock_window = self._mock_window_overlay()
diff --git a/tests/test_tray_indicator.py b/tests/test_tray_indicator.py
index b837a8e..da82d81 100644
--- a/tests/test_tray_indicator.py
+++ b/tests/test_tray_indicator.py
@@ -1219,6 +1219,10 @@ class TestTrayIndicator(unittest.TestCase):
             pad.show_pad,
         )
 
+    def test_overlay_close_request_quits_app(self):
+        """A dock/taskbar close of the overlay window quits Vocalinux (#1028)."""
+        self.assertEqual(self.tray_indicator.overlay._on_close_request, self.tray_indicator._quit)
+
     def test_quit_destroys_overlay(self):
         mock_overlay = MagicMock()
         self.tray_indicator.overlay = mock_overlay