diff --git a/gdk/gdkmemoryformat.c b/gdk/gdkmemoryformat.c
index 8cb7891634..6a7c1bde44 100644
--- a/gdk/gdkmemoryformat.c
+++ b/gdk/gdkmemoryformat.c
@@ -20,7 +20,7 @@
 #include "config.h"
 
 #include "gdkmemoryformatprivate.h"
-#include "gdkglcontext.h"
+#include "gdkglcontextprivate.h"
 
 #include "gsk/gl/fp16private.h"
 
@@ -353,7 +353,7 @@ static const GdkMemoryFormatDescription memory_formats[] = {
     4,
     G_ALIGNOF (guchar),
     GDK_MEMORY_U8,
-    { 0, 0, G_MAXUINT, G_MAXUINT },
+    { 0, 0, 0, 0 },
     { GL_RGBA8, GL_BGRA, GL_UNSIGNED_BYTE, { GL_RED, GL_GREEN, GL_BLUE, GL_ALPHA } },
     b8g8r8a8_premultiplied_to_float,
     b8g8r8a8_premultiplied_from_float,
@@ -383,7 +383,7 @@ static const GdkMemoryFormatDescription memory_formats[] = {
     4,
     G_ALIGNOF (guchar),
     GDK_MEMORY_U8,
-    { 0, 0, G_MAXUINT, G_MAXUINT },
+    { 0, 0, 0, 0 },
     { GL_RGBA8, GL_BGRA, GL_UNSIGNED_BYTE, { GL_RED, GL_GREEN, GL_BLUE, GL_ALPHA } },
     b8g8r8a8_to_float,
     b8g8r8a8_from_float,
@@ -758,6 +758,9 @@ gdk_memory_format_gl_format (GdkMemoryFormat  format,
           (memory_formats[format].min_gl_version.gles_major == gl_major &&
            memory_formats[format].min_gl_version.gles_minor > gl_minor))
         return FALSE;
+
+      if (*out_format == GL_BGRA && !gdk_gl_context_has_bgra (context))
+        return FALSE;
     }
   else
     {