diff --git a/cogl/cogl-texture.c b/cogl/cogl-texture.c
index 9cb3a6af7..79f507095 100644
--- a/cogl/cogl-texture.c
+++ b/cogl/cogl-texture.c
@@ -1198,14 +1198,17 @@ cogl_texture_get_data (CoglTexture     *texture,
   int              y;
   int              tex_width;
   int              tex_height;
+  CoglPixelFormat  texture_format;
 
   CoglTextureGetData tg_data;
 
   _COGL_GET_CONTEXT (ctx, 0);
 
+  texture_format = cogl_texture_get_format (texture);
+
   /* Default to internal format if none specified */
   if (format == COGL_PIXEL_FORMAT_ANY)
-    format = cogl_texture_get_format (texture);
+    format = texture_format;
 
   tex_width = cogl_texture_get_width (texture);
   tex_height = cogl_texture_get_height (texture);
@@ -1226,6 +1229,12 @@ cogl_texture_get_data (CoglTexture     *texture,
                                                        &closest_gl_type);
   closest_bpp = _cogl_pixel_format_get_bytes_per_pixel (closest_format);
 
+  /* We can assume that whatever data GL gives us will have the
+     premult status of the original texture */
+  if ((closest_format & COGL_A_BIT))
+    closest_format = ((closest_format & ~COGL_PREMULT_BIT) |
+                      (texture_format & COGL_PREMULT_BIT));
+
   /* Is the requested format supported? */
   if (closest_format == format)
     /* Target user data directly */