diff --git a/test/distributed/test_c10d_nccl.py b/test/distributed/test_c10d_nccl.py
index 5bf14ae094e0..e797444d0eb0 100644
--- a/test/distributed/test_c10d_nccl.py
+++ b/test/distributed/test_c10d_nccl.py
@@ -66,6 +66,8 @@
     TEST_WITH_DEV_DBG_ASAN,
     TEST_WITH_ROCM,
     TestCase,
+    is_arch,
+    NAVI_ARCH,
 )
 
 
@@ -625,6 +627,12 @@ def _helper_test_extra_cuda_context_by_memory(self):
         # Rank 0 takes a snapshot before collective -- this snapshot should have
         # included rank 0's own context.
         if self.rank == 0:
+            # We need this extra sleep for NAVI_ARCH because rccl_init inside init_process_group 
+            # is happening in a separate process and it is taking longer to finish on NAVI_ARCH. 
+            # Sleeping here ensures that the init is competed successfully and mem_get_info can 
+            # get stable numbers.
+            if is_arch(NAVI_ARCH):
+                time.sleep(5)
             free, total = torch.cuda.mem_get_info(device)
             used_before = float(total - free)
 
diff --git a/test/inductor/test_decompose_mem_bound_mm.py b/test/inductor/test_decompose_mem_bound_mm.py
index a9f3daa67528..587214c5b735 100644
--- a/test/inductor/test_decompose_mem_bound_mm.py
+++ b/test/inductor/test_decompose_mem_bound_mm.py
@@ -12,8 +12,13 @@
 from torch.testing import FileCheck
 from torch.testing._internal.common_utils import (
     instantiate_parametrized_tests,
+<<<<<<< HEAD
     patch_test_members,
     is_navi3_arch,
+=======
+    NAVI3_ARCH,
+    is_arch,
+>>>>>>> 71a21d9cde ([rocm6.4_internal_testing][SWDEV-535305] Fixed `test_extra_cuda_context` in `test_c10d_nccl.py` and refactored is_navi3_arch function (#2341))
     parametrize,
     TEST_XPU,
 )
@@ -49,6 +54,14 @@ def forward(self, input1, input2):
         output = torch.mm(input1, input2)
         return output
 
+<<<<<<< HEAD
+=======
+# We have to increase tolerance for navi3 because all fp16, bf16
+# GEMMs operations have an accuracy issue caused by hardware limitation
+default_atol = 3e-3 if is_arch(NAVI3_ARCH) else 1e-3
+default_rtol = 4e-3 if is_arch(NAVI3_ARCH) else 1e-3
+
+>>>>>>> 71a21d9cde ([rocm6.4_internal_testing][SWDEV-535305] Fixed `test_extra_cuda_context` in `test_c10d_nccl.py` and refactored is_navi3_arch function (#2341))
 
 @requires_gpu
 @unittest.skipIf(
diff --git a/torch/testing/_internal/common_utils.py b/torch/testing/_internal/common_utils.py
index f7fd0dab128e..5ee098bd013d 100644
--- a/torch/testing/_internal/common_utils.py
+++ b/torch/testing/_internal/common_utils.py
@@ -108,11 +108,11 @@
 NAVI3_ARCH = ("gfx1100", "gfx1101")
 NAVI4_ARCH = ("gfx1200", "gfx1201")
 
-def is_navi3_arch():
+def is_arch(arch_list):
     if torch.cuda.is_available():
         prop = torch.cuda.get_device_properties(0)
         gfx_arch = prop.gcnArchName.split(":")[0]
-        if gfx_arch in NAVI3_ARCH:
+        if gfx_arch in arch_list:
             return True
     return False