diff --git a/dlls/wined3d/resource.c b/dlls/wined3d/resource.c
index b76783f..aa45d5c 100644
--- a/dlls/wined3d/resource.c
+++ b/dlls/wined3d/resource.c
@@ -352,8 +352,12 @@ BOOL wined3d_resource_allocate_sysmem(struct wined3d_resource *resource)
     void **p;
     SIZE_T align = RESOURCE_ALIGNMENT - 1 + sizeof(*p);
     void *mem;
+    UINT size = resource->size;

-    if (!(mem = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, resource->size + align)))
+    if (resource->width <= 64 && resource->height <= 64)
+        size *= 2;
+
+    if (!(mem = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, size + align)))
         return FALSE;

     p = (void **)(((ULONG_PTR)mem + align) & ~(RESOURCE_ALIGNMENT - 1)) - 1;