diff --git a/src/gallium/drivers/zink/nir_to_spirv/nir_to_spirv.c b/src/gallium/drivers/zink/nir_to_spirv/nir_to_spirv.c
index 93ec73760a9..897bdd9e856 100644
--- a/src/gallium/drivers/zink/nir_to_spirv/nir_to_spirv.c
+++ b/src/gallium/drivers/zink/nir_to_spirv/nir_to_spirv.c
@@ -4158,7 +4158,8 @@ nir_to_spirv(struct nir_shader *s, const struct zink_shader_info *sinfo, uint32_
           BITSET_TEST(s->info.system_values_read, SYSTEM_VALUE_DRAW_ID) ||
           BITSET_TEST(s->info.system_values_read, SYSTEM_VALUE_BASE_INSTANCE) ||
           BITSET_TEST(s->info.system_values_read, SYSTEM_VALUE_BASE_VERTEX)) {
-         spirv_builder_emit_extension(&ctx.builder, "SPV_KHR_shader_draw_parameters");
+         if (spirv_version < SPIRV_VERSION(1, 3))
+            spirv_builder_emit_extension(&ctx.builder, "SPV_KHR_shader_draw_parameters");
          spirv_builder_emit_cap(&ctx.builder, SpvCapabilityDrawParameters);
       }
       break;
diff --git a/src/gallium/drivers/zink/zink_screen.c b/src/gallium/drivers/zink/zink_screen.c
index b471460f833..1382a36a276 100644
--- a/src/gallium/drivers/zink/zink_screen.c
+++ b/src/gallium/drivers/zink/zink_screen.c
@@ -447,9 +447,6 @@ zink_get_param(struct pipe_screen *pscreen, enum pipe_cap param)
    case PIPE_CAP_SURFACE_SAMPLE_COUNT:
       return screen->vk_version >= VK_MAKE_VERSION(1,2,0);
 
-   case PIPE_CAP_DRAW_PARAMETERS:
-      return screen->info.feats11.shaderDrawParameters || screen->info.have_KHR_shader_draw_parameters;
-
    case PIPE_CAP_SHADER_GROUP_VOTE:
       if (screen->info.have_vulkan11 &&
              (screen->info.subgroup.supportedOperations & VK_SUBGROUP_FEATURE_VOTE_BIT) &&
@@ -483,6 +480,7 @@ zink_get_param(struct pipe_screen *pscreen, enum pipe_cap param)
       return screen->info.have_KHR_draw_indirect_count;
 
    case PIPE_CAP_START_INSTANCE:
+   case PIPE_CAP_DRAW_PARAMETERS:
       return (screen->info.have_vulkan12 && screen->info.feats11.shaderDrawParameters) ||
               screen->info.have_KHR_shader_draw_parameters;