diff --git a/src/radeon_exa_funcs.c b/src/radeon_exa_funcs.c
index 8946638..40eb901 100644
--- a/src/radeon_exa_funcs.c
+++ b/src/radeon_exa_funcs.c
@@ -272,7 +277,7 @@ RADEONUploadToScreenCP(PixmapPtr pDst, int x, int y, int w, int h,
 
     TRACE;
 
-    if (bpp < 8)
+    if (bpp < 8 || (x + w) > 8191 || (y + h) > 8191)
 	return FALSE;
 
     if (info->directRenderingEnabled &&