diff --git a/wgpu/tests/clear_texture.rs b/wgpu/tests/clear_texture.rs
index 3fe525a75b..1b6d692ab5 100644
--- a/wgpu/tests/clear_texture.rs
+++ b/wgpu/tests/clear_texture.rs
@@ -341,6 +341,7 @@ fn clear_texture_uncompressed_gles_compat() {
 fn clear_texture_uncompressed() {
     initialize_test(
         TestParameters::default()
+            .webgl2_failure()
             .backend_failure(wgpu::Backends::GL)
             .features(wgpu::Features::CLEAR_TEXTURE),
         |ctx| {
diff --git a/wgpu/tests/zero_init_texture_after_discard.rs b/wgpu/tests/zero_init_texture_after_discard.rs
index 8dc67de3ba..a10e606d63 100644
--- a/wgpu/tests/zero_init_texture_after_discard.rs
+++ b/wgpu/tests/zero_init_texture_after_discard.rs
@@ -45,7 +45,13 @@ fn discarding_depth_target_resets_texture_init_state_check_visible_on_copy_in_sa
             .downlevel_flags(
                 DownlevelFlags::DEPTH_TEXTURE_AND_BUFFER_COPIES | DownlevelFlags::COMPUTE_SHADERS,
             )
-            .limits(Limits::downlevel_defaults()),
+            .limits(Limits::downlevel_defaults())
+            .specific_failure(
+                Some(wgpu::Backends::DX12),
+                Some(5140),
+                Some("Microsoft Basic Render Driver"),
+                false,
+            ),
         |mut ctx| {
             for format in [
                 TextureFormat::Stencil8,