diff --git a/servers/rendering/renderer_rd/shaders/cubemap_roughness.glsl b/servers/rendering/renderer_rd/shaders/cubemap_roughness.glsl
index 28f4dc59ecf9..47ef4cdb0775 100644
--- a/servers/rendering/renderer_rd/shaders/cubemap_roughness.glsl
+++ b/servers/rendering/renderer_rd/shaders/cubemap_roughness.glsl
@@ -28,8 +28,10 @@ void main() {
 	} else {
 		vec4 sum = vec4(0.0, 0.0, 0.0, 0.0);
 
+		float rotation = quick_hash(id.y * uint(params.face_size) + id.x); // Add some random rotation to the Hammersley sequence
 		for (uint sampleNum = 0u; sampleNum < params.sample_count; sampleNum++) {
 			vec2 xi = Hammersley(sampleNum, params.sample_count);
+			xi.x += rotation;
 
 			vec3 H = ImportanceSampleGGX(xi, params.roughness, N);
 			vec3 V = N;
diff --git a/servers/rendering/renderer_rd/shaders/cubemap_roughness_inc.glsl b/servers/rendering/renderer_rd/shaders/cubemap_roughness_inc.glsl
index ce0a25e12f69..d75e7086b925 100644
--- a/servers/rendering/renderer_rd/shaders/cubemap_roughness_inc.glsl
+++ b/servers/rendering/renderer_rd/shaders/cubemap_roughness_inc.glsl
@@ -92,3 +92,11 @@ float radicalInverse_VdC(uint bits) {
 vec2 Hammersley(uint i, uint N) {
 	return vec2(float(i) / float(N), radicalInverse_VdC(i));
 }
+
+float quick_hash(uint x) {
+	const uint k = 1103515245U;
+	x = ((x >> 8U) ^ x) * k;
+	x = ((x >> 8U) ^ x) * k;
+	x = ((x >> 8U) ^ x) * k;
+	return float(x) * (1.0 / float(0xffffffffU));
+}