diff --git a/kivy/uix/screenmanager.py b/kivy/uix/screenmanager.py
index 65c6edce9..1643b8fc9 100644
--- a/kivy/uix/screenmanager.py
+++ b/kivy/uix/screenmanager.py
@@ -596,15 +596,34 @@ class SwapTransition(TransitionBase):
     '''Swap transition that looks like iOS transition when a new window
     appears on the screen.
     '''
+    def __init__(self, **kwargs):
+        super(SwapTransition, self).__init__(**kwargs)
+        self.scales = {}
+
+    def start(self, manager):
+        for screen in self.screen_in, self.screen_out:
+            with screen.canvas.before:
+                PushMatrix(group='swaptransition_scale')
+                scale = Scale(group='swaptransition_scale')
+            with screen.canvas.after:
+                PopMatrix(group='swaptransition_scale')
+
+            screen.bind(center=self.update_scale)
+            self.scales[screen] = scale
+        super(SwapTransition, self).start(manager)
+
+    def update_scale(self, screen, center):
+        self.scales[screen].origin = center
 
     def add_screen(self, screen):
         self.manager.real_add_widget(screen, 1)
 
     def on_complete(self):
-        self.screen_in.scale = 1.
-        self.screen_out.scale = 1.
         self.screen_in.pos = self.manager.pos
         self.screen_out.pos = self.manager.pos
+        for screen in self.screen_in, self.screen_out:
+            for canvas in screen.canvas.before, screen.canvas.after:
+                canvas.remove_group('swaptransition_scale')
         super(SwapTransition, self).on_complete()
 
     def on_progress(self, progression):
@@ -612,8 +631,8 @@ class SwapTransition(TransitionBase):
         b = self.screen_out
         manager = self.manager
 
-        b.scale = 1. - progression * 0.7
-        a.scale = 0.5 + progression * 0.5
+        self.scales[b].xyz = [1. - progression * 0.7 for xyz in 'xyz']
+        self.scales[a].xyz = [0.5 + progression * 0.5 for xyz in 'xyz']
         a.center_y = b.center_y = manager.center_y
 
         al = AnimationTransition.in_out_sine