diff --git a/src/ATen/native/xpu/mkl/BatchLinearAlgebra.cpp b/src/ATen/native/xpu/mkl/BatchLinearAlgebra.cpp
index 26e80fa4d..9abad5565 100644
--- a/src/ATen/native/xpu/mkl/BatchLinearAlgebra.cpp
+++ b/src/ATen/native/xpu/mkl/BatchLinearAlgebra.cpp
@@ -44,16 +44,6 @@ void error_handle(
   auto errs = be.exceptions();
   auto ids = be.ids();
 
-  if (!errs.size()) {
-    TORCH_WARN(
-        "Caught lapack exception:\nWhat: ", be.what(), "\nInfo: ", be.info());
-    for (auto& i : ids) {
-      TORCH_WARN("Error in matrix #", i);
-      info_cpu[i] = 1;
-    }
-    return;
-  }
-
   for (size_t i = 0; i < errs.size(); ++i) {
     try {
       std::rethrow_exception(errs[i]);
@@ -65,10 +55,10 @@ void error_handle(
           e.info(),
           "\nDetail: ",
           e.detail());
-      info_cpu[i] = e.info();
+      info_cpu[ids[i]] = e.info();
     } catch (const sycl::exception& e) {
       TORCH_WARN("Caught SYCL exception:\nWhat: ", e.what(), "\nInfo: -1");
-      info_cpu[i] = -1;
+      info_cpu[ids[i]] = -1;
     }
   }
 }
diff --git a/test/xpu/skip_list_common.py b/test/xpu/skip_list_common.py
index c9e1c248d..c6b0c699d 100644
--- a/test/xpu/skip_list_common.py
+++ b/test/xpu/skip_list_common.py
@@ -290,15 +290,6 @@
         "test_scaled_gemm_offline_tunableop_xpu_float8_e5m2fnuz",
         # case need to port for xpu
         "test_gemm_bias_offline_tunableop_xpu_bfloat16",
-        # Exception is temporarily unavailable due to regression in oneMKL
-        "test_inv_errors_and_warnings_xpu_float32",
-        "test_inv_errors_and_warnings_xpu_float64",
-        "test_inverse_errors_large_xpu_float32",
-        "test_inverse_errors_large_xpu_float64",
-        "test_inverse_errors_xpu_float32",
-        "test_inverse_errors_xpu_float64",
-        "test_inv_ex_singular_xpu_float32",
-        "test_inv_ex_singular_xpu_float64",
     ),
     "test_ops_fwd_gradients_xpu.py": (
         # All of the followings are oneDNN issues