diff --git a/modules/juce_audio_plugin_client/utility/juce_FakeMouseMoveGenerator.h b/modules/juce_audio_plugin_client/utility/juce_FakeMouseMoveGenerator.h
index 9c2c9d229d..cb73184ea2 100644
--- a/modules/juce_audio_plugin_client/utility/juce_FakeMouseMoveGenerator.h
+++ b/modules/juce_audio_plugin_client/utility/juce_FakeMouseMoveGenerator.h
@@ -88,7 +88,7 @@ public:
                 {
                     if (auto* peer = safeOldComponent->getPeer())
                     {
-                        peer->handleMouseEvent (MouseInputSource::InputSourceType::mouse, { -1.0f, -1.0f }, mods,
+                        peer->handleMouseEvent (MouseInputSource::InputSourceType::mouse, MouseInputSource::offscreenMousePos, mods,
                                                 MouseInputSource::invalidPressure, MouseInputSource::invalidOrientation, Time::currentTimeMillis());
                     }
                 }
diff --git a/modules/juce_gui_basics/mouse/juce_MouseInputSource.cpp b/modules/juce_gui_basics/mouse/juce_MouseInputSource.cpp
index 00dedfc0be..b38a02ad4a 100644
--- a/modules/juce_gui_basics/mouse/juce_MouseInputSource.cpp
+++ b/modules/juce_gui_basics/mouse/juce_MouseInputSource.cpp
@@ -96,7 +96,8 @@ public:
 
     Point<float> getRawScreenPosition() const noexcept
     {
-        return unboundedMouseOffset + MouseInputSource::getCurrentRawMousePosition();
+        return unboundedMouseOffset + (inputType != MouseInputSource::InputSourceType::touch ? MouseInputSource::getCurrentRawMousePosition()
+                                                                                             : lastScreenPos);
     }
 
     void setScreenPosition (Point<float> p)
@@ -271,7 +272,9 @@ public:
         if (newScreenPos != lastScreenPos || forceUpdate)
         {
             cancelPendingUpdate();
-            lastScreenPos = newScreenPos;
+
+            if (newScreenPos != MouseInputSource::offscreenMousePos)
+                lastScreenPos = newScreenPos;
 
             if (auto* current = getComponentUnderMouse())
             {
@@ -648,6 +651,8 @@ const float MouseInputSource::invalidRotation = 0.0f;
 const float MouseInputSource::invalidTiltX = 0.0f;
 const float MouseInputSource::invalidTiltY = 0.0f;
 
+const Point<float> MouseInputSource::offscreenMousePos { -10.0f, -10.0f };
+
 // Deprecated method
 bool MouseInputSource::hasMouseMovedSignificantlySincePressed() const noexcept  { return pimpl->hasMouseMovedSignificantlySincePressed(); }
 
diff --git a/modules/juce_gui_basics/mouse/juce_MouseInputSource.h b/modules/juce_gui_basics/mouse/juce_MouseInputSource.h
index 11e13b2c3b..f10f3d000d 100644
--- a/modules/juce_gui_basics/mouse/juce_MouseInputSource.h
+++ b/modules/juce_gui_basics/mouse/juce_MouseInputSource.h
@@ -237,6 +237,11 @@ public:
     static const float invalidTiltX;
     static const float invalidTiltY;
 
+    /** An offscreen mouse position used when triggering mouse exits where we don't want to move
+        the cursor over an existing component.
+    */
+    static const Point<float> offscreenMousePos;
+
    #if ! DOXYGEN
     // This method has been deprecated and replaced with the isLongPressOrDrag() and hasMovedSignificantlySincePressed()
     // methods. If you want the same behaviour you should use isLongPressOrDrag() which accounts for the amount of time
diff --git a/modules/juce_gui_basics/native/juce_ios_UIViewComponentPeer.mm b/modules/juce_gui_basics/native/juce_ios_UIViewComponentPeer.mm
index d5499fd859..aa2d572635 100644
--- a/modules/juce_gui_basics/native/juce_ios_UIViewComponentPeer.mm
+++ b/modules/juce_gui_basics/native/juce_ios_UIViewComponentPeer.mm
@@ -900,7 +900,7 @@ void UIViewComponentPeer::handleTouches (UIEvent* event, const bool isDown, cons
 
         if (isUp || isCancel)
         {
-            handleMouseEvent (MouseInputSource::InputSourceType::touch, Point<float> (-1.0f, -1.0f), modsToSend,
+            handleMouseEvent (MouseInputSource::InputSourceType::touch, MouseInputSource::offscreenMousePos, modsToSend,
                               MouseInputSource::invalidPressure, MouseInputSource::invalidOrientation, time, {}, touchIndex);
 
             if (! isValidPeer (this))
diff --git a/modules/juce_gui_basics/native/juce_mac_NSViewComponentPeer.mm b/modules/juce_gui_basics/native/juce_mac_NSViewComponentPeer.mm
index 7cd49c340a..05bb34b454 100644
--- a/modules/juce_gui_basics/native/juce_mac_NSViewComponentPeer.mm
+++ b/modules/juce_gui_basics/native/juce_mac_NSViewComponentPeer.mm
@@ -632,7 +632,7 @@ public:
             sendMouseEvent (ev);
         else
             // moved into another window which overlaps this one, so trigger an exit
-            handleMouseEvent (MouseInputSource::InputSourceType::mouse, { -1.0f, -1.0f }, ModifierKeys::currentModifiers,
+            handleMouseEvent (MouseInputSource::InputSourceType::mouse, MouseInputSource::offscreenMousePos, ModifierKeys::currentModifiers,
                               getMousePressure (ev), MouseInputSource::invalidOrientation, getMouseTime (ev));
 
         showArrowCursorIfNeeded();
diff --git a/modules/juce_gui_basics/native/juce_win32_Windowing.cpp b/modules/juce_gui_basics/native/juce_win32_Windowing.cpp
index 8152d70f65..655a7e27cd 100644
--- a/modules/juce_gui_basics/native/juce_win32_Windowing.cpp
+++ b/modules/juce_gui_basics/native/juce_win32_Windowing.cpp
@@ -621,9 +621,6 @@ int64 getMouseEventTime()
     return eventTimeOffset + thisMessageTime;
 }
 
-Point<float> juce_lastTouchPos;
-static JUCE_CONSTEXPR Point<float> juce_invalidTouchPos { -10.0f, -10.0f };
-
 //==============================================================================
 const int extendedKeyModifier               = 0x10000;
 
@@ -2442,8 +2439,6 @@ private:
     //==============================================================================
     void doMouseEvent (Point<float> position, float pressure, float orientation = 0.0f, ModifierKeys mods = ModifierKeys::currentModifiers)
     {
-        juce_lastTouchPos = juce_invalidTouchPos;
-
         handleMouseEvent (MouseInputSource::InputSourceType::mouse, position, mods, pressure, orientation, getMouseEventTime());
     }
 
@@ -2772,8 +2767,6 @@ private:
         const auto pressure = touchPressure;
         auto modsToSend = ModifierKeys::currentModifiers;
 
-        juce_lastTouchPos = pos;
-
         if (isDown)
         {
             ModifierKeys::currentModifiers = ModifierKeys::currentModifiers.withoutMouseButtons().withFlags (ModifierKeys::leftButtonModifier);
@@ -2808,7 +2801,7 @@ private:
 
         if (isUp)
         {
-            handleMouseEvent (MouseInputSource::InputSourceType::touch, juce_invalidTouchPos, ModifierKeys::currentModifiers.withoutMouseButtons(),
+            handleMouseEvent (MouseInputSource::InputSourceType::touch, MouseInputSource::offscreenMousePos, ModifierKeys::currentModifiers.withoutMouseButtons(),
                               pressure, orientation, time, {}, touchIndex);
 
             if (! isValidPeer (this))
@@ -2921,7 +2914,7 @@ private:
 
         if (isUp)
         {
-            handleMouseEvent (MouseInputSource::InputSourceType::pen, juce_invalidTouchPos, ModifierKeys::currentModifiers,
+            handleMouseEvent (MouseInputSource::InputSourceType::pen, MouseInputSource::offscreenMousePos, ModifierKeys::currentModifiers,
                               pressure, MouseInputSource::invalidOrientation, time, penDetails);
 
             if (! isValidPeer (this))
@@ -4288,9 +4281,6 @@ bool MouseInputSource::SourceList::canUseTouch()
 
 Point<float> MouseInputSource::getCurrentRawMousePosition()
 {
-    if (juce_lastTouchPos != juce_invalidTouchPos)
-        return juce_lastTouchPos;
-
     POINT mousePos;
     GetCursorPos (&mousePos);