diff --git a/src/radeon_exa_funcs.c b/src/radeon_exa_funcs.c
index 55710ff..2c5db8a 100644
--- a/src/radeon_exa_funcs.c
+++ b/src/radeon_exa_funcs.c
@@ -401,7 +401,8 @@ FUNC_NAME(RADEONDownloadFromScreen)(PixmapPtr pSrc, int x, int y, int w, int h,
      * blitting the bits to one half while copying them out of the other one and
      * then swapping the halves.
      */
-    if (info->accelDFS && bpp != 24 && RADEONGetDatatypeBpp(bpp, &datatype) &&
+    if (info->accelDFS && (bpp != 24) && (w > 32) && (h > 32) &&
+	RADEONGetDatatypeBpp(bpp, &datatype) &&
 	RADEONGetPixmapOffsetPitch(pSrc, &src_pitch_offset) &&
 	(scratch = RADEONCPGetBuffer(pScrn)))
     {