diff --git a/test/cpp/test_aten_xla_tensor_1.cpp b/test/cpp/test_aten_xla_tensor_1.cpp
index b94d126d40e..5991c10d67e 100644
--- a/test/cpp/test_aten_xla_tensor_1.cpp
+++ b/test/cpp/test_aten_xla_tensor_1.cpp
@@ -648,6 +648,8 @@ TEST_F(AtenXlaTensorTest, TestLinear) {
 }
 
 TEST_F(AtenXlaTensorTest, TestPinverse) {
+  // TODO: Renable after the LAPACK dependency issue is resolved.
+  GTEST_SKIP();
   torch::Tensor input =
       torch::rand({4, 6}, torch::TensorOptions(torch::kFloat));
   torch::Tensor result = torch::pinverse(input);
@@ -1552,6 +1554,8 @@ TEST_F(AtenXlaTensorTest, TestRandpermZeroDoesntCrash) {
 }
 
 TEST_F(AtenXlaTensorTest, TestRandpermCPUFallback) {
+  // TODO: Broken with PyTorch HEAD.
+  GTEST_SKIP();
   int n = 5;
   ForEachDevice([&](const torch::Device& device) {
     torch::Tensor shuffle = torch::randperm(
@@ -2180,6 +2184,8 @@ TEST_F(AtenXlaTensorTest, TestIndexSelectRank0) {
 }
 
 TEST_F(AtenXlaTensorTest, TestInverse) {
+  // TODO: Renable after the LAPACK dependency issue is resolved.
+  GTEST_SKIP();
   torch::Tensor a = torch::randn({5, 5}, torch::TensorOptions(torch::kFloat));
   torch::Tensor b = torch::inverse(a);
   ForEachDevice([&](const torch::Device& device) {