diff --git a/gdk/macos/GdkMacosWindow.c b/gdk/macos/GdkMacosWindow.c
index e85ebf8805..f4fcd01ad5 100644
--- a/gdk/macos/GdkMacosWindow.c
+++ b/gdk/macos/GdkMacosWindow.c
@@ -466,7 +466,7 @@
 
   inTrackManualResize = YES;
 
-  mouse_location = [self convertPointToScreen:[self mouseLocationOutsideOfEventStream]];
+  mouse_location = convert_nspoint_to_screen (self, [self mouseLocationOutsideOfEventStream]);
   mdx = initialResizeLocation.x - mouse_location.x;
   mdy = initialResizeLocation.y - mouse_location.y;
 
@@ -588,7 +588,7 @@
     }
 
   initialResizeFrame = [self frame];
-  initialResizeLocation = [self convertPointToScreen:[self mouseLocationOutsideOfEventStream]];
+  initialResizeLocation = convert_nspoint_to_screen (self, [self mouseLocationOutsideOfEventStream]);
 }
 
 -(NSDragOperation)draggingEntered:(id <NSDraggingInfo>)sender
diff --git a/gdk/macos/gdkmacosdisplay-translate.c b/gdk/macos/gdkmacosdisplay-translate.c
index b638b87ab9..e6551581a2 100644
--- a/gdk/macos/gdkmacosdisplay-translate.c
+++ b/gdk/macos/gdkmacosdisplay-translate.c
@@ -700,7 +700,7 @@ get_surface_point_from_screen_point (GdkSurface *surface,
   NSPoint point;
 
   nswindow = _gdk_macos_surface_get_native (GDK_MACOS_SURFACE (surface));
-  point = [nswindow convertPointFromScreen:screen_point];
+  point = convert_nspoint_from_screen (nswindow, screen_point);
 
   *x = point.x;
   *y = surface->height - point.y;
@@ -821,7 +821,7 @@ get_surface_from_ns_event (GdkMacosDisplay *self,
         }
       else
         {
-          *screen_point = [(GdkMacosWindow *)[nsevent window] convertPointToScreen:point];
+          *screen_point = convert_nspoint_to_screen ([nsevent window], point);
           *x = point.x;
           *y = surface->height - point.y;
         }
diff --git a/gdk/macos/gdkmacosutils-private.h b/gdk/macos/gdkmacosutils-private.h
index 6b81fd28ac..dd8d3b296a 100644
--- a/gdk/macos/gdkmacosutils-private.h
+++ b/gdk/macos/gdkmacosutils-private.h
@@ -40,5 +40,36 @@ struct _GdkPoint
 };
 typedef struct _GdkPoint GdkPoint;
 
+static inline NSPoint
+convert_nspoint_from_screen (NSWindow *window,
+                             NSPoint   point)
+{
+#ifdef AVAILABLE_MAC_OS_X_VERSION_10_15_AND_LATER
+  return [window convertPointFromScreen:point];
+#else
+  /* Apple documentation claims that convertPointFromScreen is available
+   * on 10.12+. However, that doesn't seem to be the case when using it.
+   * Instead, we'll just use it on modern 10.15 systems and fallback to
+   * converting using rects on older systems.
+   */
+  return [window convertRectFromScreen:NSMakeRect (point.x, point.y, 0, 0)].origin;
+#endif
+}
+
+static inline NSPoint
+convert_nspoint_to_screen (NSWindow *window,
+                           NSPoint   point)
+{
+#ifdef AVAILABLE_MAC_OS_X_VERSION_10_15_AND_LATER
+  return [window convertPointToScreen:point];
+#else
+  /* Apple documentation claims that convertPointToScreen is available
+   * on 10.12+. However, that doesn't seem to be the case when using it.
+   * Instead, we'll just use it on modern 10.15 systems and fallback to
+   * converting using rects on older systems.
+   */
+  return [window convertRectToScreen:NSMakeRect (point.x, point.y, 0, 0)].origin;
+#endif
+}
 
 #endif /* __GDK_MACOS_UTILS_PRIVATE_H__ */