diff --git a/src/mesa/state_tracker/st_cb_readpixels.c b/src/mesa/state_tracker/st_cb_readpixels.c
index 39d2274b3b4..77c63323295 100644
--- a/src/mesa/state_tracker/st_cb_readpixels.c
+++ b/src/mesa/state_tracker/st_cb_readpixels.c
@@ -520,14 +520,21 @@ st_ReadPixels(struct gl_context *ctx, GLint x, GLint y,
    /* memcpy data into a user buffer */
    {
       const uint bytesPerRow = width * util_format_get_blocksize(dst_format);
-      GLuint row;
+      const uint destStride = _mesa_image_row_stride(pack, width, format, type);
+      char *dest = _mesa_image_address2d(pack, pixels,
+                                         width, height, format,
+                                         type, 0, 0);
 
-      for (row = 0; row < (unsigned) height; row++) {
-         void *dest = _mesa_image_address2d(pack, pixels,
-                                              width, height, format,
-                                              type, row, 0);
-         memcpy(dest, map, bytesPerRow);
-         map += tex_xfer->stride;
+      if (tex_xfer->stride == bytesPerRow && destStride == bytesPerRow) {
+         memcpy(dest, map, bytesPerRow * height);
+      } else {
+         GLuint row;
+
+         for (row = 0; row < (unsigned) height; row++) {
+            memcpy(dest, map, bytesPerRow);
+            map += tex_xfer->stride;
+            dest += destStride;
+         }
       }
    }