diff --git a/src/mesa/main/teximage.c b/src/mesa/main/teximage.c
index 9d4b386613b..462ab393c80 100644
--- a/src/mesa/main/teximage.c
+++ b/src/mesa/main/teximage.c
@@ -1570,10 +1570,14 @@ _mesa_target_can_be_compressed(const struct gl_context *ctx, GLenum target,
    case GL_TEXTURE_3D:
       switch (layout) {
       case MESA_FORMAT_LAYOUT_ETC2:
-         /* See ETC2/EAC comment in case GL_TEXTURE_CUBE_MAP_ARRAY. */
-         if (_mesa_is_gles3(ctx))
-            return write_error(error, GL_INVALID_OPERATION);
-         break;
+      case MESA_FORMAT_LAYOUT_RGTC:
+         /* From the OpenGL 4.4 compatibility spec:
+          *      An INVALID_OPERATION error is generated by TexImage3D if
+          *      internalformat is one of the EAC, ETC2, or RGTC compressed
+          *      formats and either border is non-zero, or target is not
+          *      TEXTURE_2D_ARRAY.
+          */
+         return write_error(error, GL_INVALID_OPERATION);
       case MESA_FORMAT_LAYOUT_BPTC:
          target_can_be_compresed = ctx->Extensions.ARB_texture_compression_bptc;
          break;