diff --git a/ggml/src/ggml-vulkan/.CMakeLists.txt.swp b/ggml/src/ggml-vulkan/.CMakeLists.txt.swp
new file mode 100644
index 00000000000..537676a5667
Binary files /dev/null and b/ggml/src/ggml-vulkan/.CMakeLists.txt.swp differ
diff --git a/ggml/src/ggml-vulkan/CMakeLists.txt b/ggml/src/ggml-vulkan/CMakeLists.txt
index 6d46e5f24c1..75b72612de6 100644
--- a/ggml/src/ggml-vulkan/CMakeLists.txt
+++ b/ggml/src/ggml-vulkan/CMakeLists.txt
@@ -22,6 +22,19 @@ if (Vulkan_FOUND)
         add_compile_definitions(GGML_VULKAN_COOPMAT2_GLSLC_SUPPORT)
     endif()
 
+    # Compile a test shader to determine whether GL_KHR_cooperative_matrix is supported.
+    # If it's not, there will be an error to stderr.
+    # If it's supported, set a define to indicate that we should compile those shaders
+    execute_process(COMMAND ${Vulkan_GLSLC_EXECUTABLE} -o - -fshader-stage=compute --target-env=vulkan1.3 "${CMAKE_CURRENT_SOURCE_DIR}/vulkan-shaders/test_coopmat_support.comp"
+                    OUTPUT_VARIABLE glslc_output
+                    ERROR_VARIABLE glslc_error)
+    if (${glslc_error} MATCHES ".*extension not supported: GL_KHR_cooperative_matrix.*")
+        message(STATUS "GL_KHR_cooperative_matrix not supported by glslc")
+    else()
+        message(STATUS "GL_KHR_cooperative_matrix supported by glslc")
+        add_compile_definitions(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
+    endif()
+
     target_link_libraries(ggml-vulkan PRIVATE Vulkan::Vulkan)
     target_include_directories(ggml-vulkan PRIVATE ${CMAKE_CURRENT_BINARY_DIR})
 
diff --git a/ggml/src/ggml-vulkan/ggml-vulkan.cpp b/ggml/src/ggml-vulkan/ggml-vulkan.cpp
index 020e612801f..b00877d8c30 100644
--- a/ggml/src/ggml-vulkan/ggml-vulkan.cpp
+++ b/ggml/src/ggml-vulkan/ggml-vulkan.cpp
@@ -1645,6 +1645,7 @@ static void ggml_vk_load_shaders(vk_device& device) {
 #undef CREATE_MM2
     } else
 #endif  // defined(VK_NV_cooperative_matrix2) && defined(GGML_VULKAN_COOPMAT2_GLSLC_SUPPORT)
+#if defined(VK_KHR_cooperative_matrix) && defined(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
     if (device->coopmat_support) {
         // Create 6 variants, {s,m,l}x{unaligned,aligned}
 #define CREATE_MM(PIPELINE_NAME, NAMELC, F16ACC, WG_DENOMS, WARPTILE, PUSHCONST, PARAMCOUNT, ID) \
@@ -1739,7 +1740,9 @@ static void ggml_vk_load_shaders(vk_device& device) {
         }
 #undef CREATE_MM2
 #undef CREATE_MM
-    } else if (device->fp16) {
+    } else
+#endif  // defined(VK_KHR_cooperative_matrix) && defined(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
+    if (device->fp16) {
         // Create 6 variants, {s,m,l}x{unaligned,aligned}
 #define CREATE_MM(PIPELINE_NAME, NAMELC, F16ACC, WG_DENOMS, WARPTILE, PUSHCONST, PARAMCOUNT, ID) \
         if (device->mul_mat ## ID ## _l) \
@@ -2242,6 +2245,7 @@ static vk_device ggml_vk_get_device(size_t idx) {
             last_struct = (VkBaseOutStructure *)&subgroup_size_control_features;
         }
 
+#if defined(VK_KHR_cooperative_matrix)
         VkPhysicalDeviceCooperativeMatrixFeaturesKHR coopmat_features;
         coopmat_features.pNext = nullptr;
         coopmat_features.sType = VK_STRUCTURE_TYPE_PHYSICAL_DEVICE_COOPERATIVE_MATRIX_FEATURES_KHR;
@@ -2251,6 +2255,7 @@ static vk_device ggml_vk_get_device(size_t idx) {
             last_struct->pNext = (VkBaseOutStructure *)&coopmat_features;
             last_struct = (VkBaseOutStructure *)&coopmat_features;
         }
+#endif
 
 #if defined(VK_NV_cooperative_matrix2)
         VkPhysicalDeviceCooperativeMatrix2FeaturesNV coopmat2_features {};
@@ -2283,7 +2288,9 @@ static vk_device ggml_vk_get_device(size_t idx) {
             device_extensions.push_back("VK_EXT_subgroup_size_control");
         }
 
+#if defined(VK_KHR_cooperative_matrix)
         device->coopmat_support = device->coopmat_support && coopmat_features.cooperativeMatrix;
+#endif
 
         if (coopmat2_support) {
 #if defined(VK_NV_cooperative_matrix2) && defined(GGML_VULKAN_COOPMAT2_GLSLC_SUPPORT)
@@ -2376,6 +2383,7 @@ static vk_device ggml_vk_get_device(size_t idx) {
             device_extensions.push_back("VK_KHR_shader_float16_int8");
         }
 
+#if defined(VK_KHR_cooperative_matrix)
         if (device->coopmat_support) {
             // Query supported shapes
             std::vector<VkCooperativeMatrixPropertiesKHR> cm_props;
@@ -2442,6 +2450,7 @@ static vk_device ggml_vk_get_device(size_t idx) {
         if (device->coopmat_support) {
             device_extensions.push_back("VK_KHR_cooperative_matrix");
         }
+#endif
 
         device->name = GGML_VK_NAME + std::to_string(idx);
 
@@ -2554,9 +2563,11 @@ static void ggml_vk_print_gpu_info(size_t idx) {
             fp16_storage = true;
         } else if (strcmp("VK_KHR_shader_float16_int8", properties.extensionName) == 0) {
             fp16_compute = true;
+#if defined(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
         } else if (strcmp("VK_KHR_cooperative_matrix", properties.extensionName) == 0 &&
                    !getenv("GGML_VK_DISABLE_COOPMAT")) {
             coopmat_support = true;
+#endif
 #if defined(GGML_VULKAN_COOPMAT2_GLSLC_SUPPORT)
         } else if (strcmp("VK_NV_cooperative_matrix2", properties.extensionName) == 0 &&
                    !getenv("GGML_VK_DISABLE_COOPMAT2")) {
@@ -2596,6 +2607,7 @@ static void ggml_vk_print_gpu_info(size_t idx) {
     // Pointer to the last chain element
     VkBaseOutStructure * last_struct = (VkBaseOutStructure *)&vk12_features;
 
+#if defined(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
     VkPhysicalDeviceCooperativeMatrixFeaturesKHR coopmat_features;
     coopmat_features.pNext = nullptr;
     coopmat_features.sType = VK_STRUCTURE_TYPE_PHYSICAL_DEVICE_COOPERATIVE_MATRIX_FEATURES_KHR;
@@ -2611,6 +2623,7 @@ static void ggml_vk_print_gpu_info(size_t idx) {
     fp16 = fp16 && vk12_features.shaderFloat16;
 
     coopmat_support = coopmat_support && coopmat_features.cooperativeMatrix;
+#endif
 
     std::string matrix_cores = coopmat2_support ? "NV_coopmat2" : coopmat_support ? "KHR_coopmat" : "none";
 
diff --git a/ggml/src/ggml-vulkan/vulkan-shaders/test_coopmat_support.comp b/ggml/src/ggml-vulkan/vulkan-shaders/test_coopmat_support.comp
new file mode 100644
index 00000000000..e8522e26124
--- /dev/null
+++ b/ggml/src/ggml-vulkan/vulkan-shaders/test_coopmat_support.comp
@@ -0,0 +1,5 @@
+#version 460
+#extension GL_KHR_cooperative_matrix : require
+void main()
+{
+}
diff --git a/ggml/src/ggml-vulkan/vulkan-shaders/vulkan-shaders-gen.cpp b/ggml/src/ggml-vulkan/vulkan-shaders/vulkan-shaders-gen.cpp
index 8111c063884..7b5044798d7 100644
--- a/ggml/src/ggml-vulkan/vulkan-shaders/vulkan-shaders-gen.cpp
+++ b/ggml/src/ggml-vulkan/vulkan-shaders/vulkan-shaders-gen.cpp
@@ -342,9 +342,11 @@ void process_shaders() {
         matmul_shaders(true, matmul_id, false, false, false);
         matmul_shaders(true, matmul_id, false, false, true);
 
+#if defined(GGML_VULKAN_COOPMAT_GLSLC_SUPPORT)
         // Coopmat, fp32acc and fp16acc
         matmul_shaders(true, matmul_id, true, false, false);
         matmul_shaders(true, matmul_id, true, false, true);
+#endif
 
 #if defined(GGML_VULKAN_COOPMAT2_GLSLC_SUPPORT)
         // Coopmat2, fp32acc and fp16acc