diff --git a/src/gallium/drivers/zink/zink_pipeline.c b/src/gallium/drivers/zink/zink_pipeline.c
index d8b51d688ca..a5f151fefc7 100644
--- a/src/gallium/drivers/zink/zink_pipeline.c
+++ b/src/gallium/drivers/zink/zink_pipeline.c
@@ -137,7 +137,7 @@ zink_create_gfx_pipeline(struct zink_screen *screen,
       ms_state.minSampleShading = 1.0;
    } else if (state->min_samples > 0) {
       ms_state.sampleShadingEnable = VK_TRUE;
-      ms_state.minSampleShading = (float)(state->rast_samples + 1) / (state->min_samples + 1);
+      ms_state.minSampleShading = MIN2((float)(state->rast_samples + 1) / (state->min_samples + 1), 1.0f);
    }
 
    VkPipelineViewportStateCreateInfo viewport_state = {0};
@@ -515,7 +515,7 @@ zink_create_gfx_pipeline_output(struct zink_screen *screen, struct zink_gfx_pipe
       ms_state.minSampleShading = 1.0;
    } else if (state->min_samples > 0) {
       ms_state.sampleShadingEnable = VK_TRUE;
-      ms_state.minSampleShading = (float)(state->rast_samples + 1) / (state->min_samples + 1);
+      ms_state.minSampleShading = MIN2((float)(state->rast_samples + 1) / (state->min_samples + 1), 1.0f);
    }
 
    VkDynamicState dynamicStateEnables[30] = {