diff --git a/src/llama-quant.cpp b/src/llama-quant.cpp
index 252fbe2085..3cad6bc6e7 100644
--- a/src/llama-quant.cpp
+++ b/src/llama-quant.cpp
@@ -480,14 +480,19 @@ static size_t llama_tensor_quantize_impl(enum ggml_type new_type, const float *
 }
 
 static bool tensor_requires_imatrix(const llama_model_quantize_params * params, const ggml_tensor * t, const ggml_type dst_type) {
-    if (dst_type == GGML_TYPE_IQ2_XXS || dst_type == GGML_TYPE_IQ2_XS ||
-        dst_type == GGML_TYPE_IQ2_S   || dst_type == GGML_TYPE_IQ1_S  || (
+    if (
+        dst_type == GGML_TYPE_IQ2_XXS || dst_type == GGML_TYPE_IQ2_XS ||
+        dst_type == GGML_TYPE_IQ3_XXS || dst_type == GGML_TYPE_IQ1_S  ||
+        dst_type == GGML_TYPE_IQ2_S   || dst_type == GGML_TYPE_IQ1_M  ||
+        dst_type == GGML_TYPE_TQ1_0   || dst_type == GGML_TYPE_TQ2_0  ||
+        (
             dst_type == GGML_TYPE_IQ1_M && strcmp(t->name, "token_embd.weight") &&
             strcmp(t->name, "output.weight")
         ) || (
             dst_type == GGML_TYPE_Q2_K && params->ftype == LLAMA_FTYPE_MOSTLY_Q2_K_S &&
             strcmp(t->name, "token_embd.weight") != 0
-        )) {
+        )
+    ) {
         return true;
     } else {
         return false;
@@ -979,7 +984,7 @@ static void llama_model_quantize_impl(const std::string & fname_inp, const std::
                         }
                     }
                 }
-                if (tensor_requires_imatrix(params, tensor, new_type) && !imatrix) {
+                if (!imatrix && tensor_requires_imatrix(params, tensor, new_type)) {
                     LLAMA_LOG_ERROR("\n\n============================================================\n");
                     LLAMA_LOG_ERROR("Missing importance matrix for tensor %s in a very low-bit quantization\n", tensor->name);
                     LLAMA_LOG_ERROR("The result will be garbage, so bailing out\n");