diff --git a/clutter/cogl/cogl/cogl-clip-stack.c b/clutter/cogl/cogl/cogl-clip-stack.c
index 3f64047a0..8e849c723 100644
--- a/clutter/cogl/cogl/cogl-clip-stack.c
+++ b/clutter/cogl/cogl/cogl-clip-stack.c
@@ -37,6 +37,7 @@
 #include "cogl-internal.h"
 #include "cogl-framebuffer-private.h"
 #include "cogl-journal-private.h"
+#include "cogl-util.h"
 
 void _cogl_add_path_to_stencil_buffer (floatVec2    nodes_min,
                                        floatVec2    nodes_max,
@@ -483,7 +484,10 @@ try_pushing_rect_as_window_rect (float x_1,
     SWAP (y_1, y_2);
 #undef SWAP
 
-  cogl_clip_push_window_rectangle (x_1, y_1, x_2 - x_1, y_2 - y_1);
+  cogl_clip_push_window_rectangle (COGL_UTIL_NEARBYINT (x_1),
+                                   COGL_UTIL_NEARBYINT (y_1),
+                                   COGL_UTIL_NEARBYINT (x_2 - x_1),
+                                   COGL_UTIL_NEARBYINT (y_2 - y_1));
   return TRUE;
 }
 
diff --git a/clutter/cogl/cogl/cogl-util.h b/clutter/cogl/cogl/cogl-util.h
index a6602a5f5..0e0e095d9 100644
--- a/clutter/cogl/cogl/cogl-util.h
+++ b/clutter/cogl/cogl/cogl-util.h
@@ -52,4 +52,12 @@ cogl_util_float_signbit (float x)
 }
 #endif
 
+/* This is a replacement for the nearbyint function which always
+   rounds to the nearest integer. nearbyint is apparently a C99
+   function so it might not always be available but also it seems in
+   glibc it is defined as a function call so this macro could end up
+   faster anyway. We can't just add 0.5f because it will break for
+   negative numbers. */
+#define COGL_UTIL_NEARBYINT(x) ((int) ((x) < 0.0f ? (x) - 0.5f : (x) + 0.5f))
+
 #endif /* __COGL_UTIL_H */