diff --git a/libs/vkd3d-shader/glsl.c b/libs/vkd3d-shader/glsl.c
index a2a090e1..f63d87ae 100644
--- a/libs/vkd3d-shader/glsl.c
+++ b/libs/vkd3d-shader/glsl.c
@@ -2197,6 +2197,20 @@ static void shader_glsl_generate_output_declarations(struct vkd3d_glsl_generator
     }
 }
 
+static void shader_glsl_handle_global_flags(struct vkd3d_string_buffer *buffer,
+        struct vkd3d_glsl_generator *gen, enum vsir_global_flags flags)
+{
+    if (flags & VKD3DSGF_FORCE_EARLY_DEPTH_STENCIL)
+    {
+        vkd3d_string_buffer_printf(buffer, "layout(early_fragment_tests) in;\n");
+        flags &= ~VKD3DSGF_FORCE_EARLY_DEPTH_STENCIL;
+    }
+
+    if (flags)
+        vkd3d_glsl_compiler_error(gen, VKD3D_SHADER_ERROR_GLSL_INTERNAL,
+                "Internal compiler error: Unhandled global flags %#"PRIx64".", (uint64_t)flags);
+}
+
 static void shader_glsl_generate_declarations(struct vkd3d_glsl_generator *gen)
 {
     const struct vsir_program *program = gen->program;
@@ -2210,9 +2224,7 @@ static void shader_glsl_generate_declarations(struct vkd3d_glsl_generator *gen)
                 group_size->x, group_size->y, group_size->z);
     }
 
-    if (program->global_flags)
-        vkd3d_glsl_compiler_error(gen, VKD3D_SHADER_ERROR_GLSL_INTERNAL,
-                "Internal compiler error: Unhandled global flags %#"PRIx64".", (uint64_t)program->global_flags);
+    shader_glsl_handle_global_flags(buffer, gen, program->global_flags);
 
     shader_glsl_generate_descriptor_declarations(gen);
     shader_glsl_generate_input_declarations(gen);
diff --git a/tests/hlsl/depth-bounds.shader_test b/tests/hlsl/depth-bounds.shader_test
index 9ab1c332..fcaac126 100644
--- a/tests/hlsl/depth-bounds.shader_test
+++ b/tests/hlsl/depth-bounds.shader_test
@@ -36,30 +36,30 @@ depth greater equal
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 0.0
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(0, 0, 0, 0)
 probe uav 1 (0) r(0.0)
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 0.3
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(1, 1, 1, 1)
 probe uav 1 (0) r(1.0)
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 0.5
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(1, 1, 1, 1)
 probe uav 1 (0) r(1.0)
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 0.6
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(1, 1, 1, 1)
 probe uav 1 (0) r(1.0)
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 1.0
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(0, 0, 0, 0)
 probe uav 1 (0) r(0.0)
diff --git a/tests/hlsl/early-depth-stencil.shader_test b/tests/hlsl/early-depth-stencil.shader_test
index 810bd4a7..40806416 100644
--- a/tests/hlsl/early-depth-stencil.shader_test
+++ b/tests/hlsl/early-depth-stencil.shader_test
@@ -26,6 +26,6 @@ depth greater equal
 
 clear rtv 0 0.0 0.0 0.0 0.0
 clear dsv 0.5
-todo(glsl) draw quad
+draw quad
 probe (0, 0) rgba(0, 0, 0, 0)
 probe uav 1 (0) r(0.0)