diff --git a/src/radeon_exa_funcs.c b/src/radeon_exa_funcs.c
index cd97cc6..0593011 100644
--- a/src/radeon_exa_funcs.c
+++ b/src/radeon_exa_funcs.c
@@ -350,6 +350,7 @@ RADEONDownloadFromScreenCP(PixmapPtr pSrc, int x, int y, int w, int h,
      * then swapping the halves.
      */
     if (bpp != 24 && RADEONGetDatatypeBpp(bpp, &datatype) &&
+	(w > 32) && (h > 32) &&
 	RADEONGetPixmapOffsetPitch(pSrc, &src_pitch_offset) &&
 	(scratch = RADEONCPGetBuffer(pScrn)))
     {