diff --git a/.github/workflows/regression_test.yml b/.github/workflows/regression_test.yml
index 97946adcc2..c39aa4750f 100644
--- a/.github/workflows/regression_test.yml
+++ b/.github/workflows/regression_test.yml
@@ -59,35 +59,35 @@ jobs:
       fail-fast: false
       matrix:
         include:
-          - name: CUDA 2.3
+          - name: CUDA 2.5.1
             runs-on: linux.g5.12xlarge.nvidia.gpu
-            torch-spec: 'torch==2.3.0'
+            torch-spec: 'torch==2.5.1 --index-url https://download.pytorch.org/whl/cu121'
             gpu-arch-type: "cuda"
-            gpu-arch-version: "12.1"
-          - name: CUDA 2.4
+            gpu-arch-version: "12.6"
+          - name: CUDA 2.6
             runs-on: linux.g5.12xlarge.nvidia.gpu
-            torch-spec: 'torch==2.4.0'
+            torch-spec: 'torch==2.6.0'
             gpu-arch-type: "cuda"
-            gpu-arch-version: "12.1"
-          - name: CUDA 2.5.1
+            gpu-arch-version: "12.6"
+          - name: CUDA 2.7
             runs-on: linux.g5.12xlarge.nvidia.gpu
-            torch-spec: 'torch==2.5.1 --index-url https://download.pytorch.org/whl/cu121'
+            torch-spec: 'torch==2.7.0'
             gpu-arch-type: "cuda"
-            gpu-arch-version: "12.1"
+            gpu-arch-version: "12.6"
 
-          - name: CPU 2.3
+          - name: CPU 2.5.1
             runs-on: linux.4xlarge
-            torch-spec: 'torch==2.3.0 --index-url https://download.pytorch.org/whl/cpu'
+            torch-spec: 'torch==2.5.1 --index-url https://download.pytorch.org/whl/cpu'
             gpu-arch-type: "cpu"
             gpu-arch-version: ""
-          - name: CPU 2.4
+          - name: CPU 2.6
             runs-on: linux.4xlarge
-            torch-spec: 'torch==2.4.0 --index-url https://download.pytorch.org/whl/cpu'
+            torch-spec: 'torch==2.6.0 --index-url https://download.pytorch.org/whl/cpu'
             gpu-arch-type: "cpu"
             gpu-arch-version: ""
-          - name: CPU 2.5.1
+          - name: CPU 2.7
             runs-on: linux.4xlarge
-            torch-spec: 'torch==2.5.1 --index-url https://download.pytorch.org/whl/cpu'
+            torch-spec: 'torch==2.7.0 --index-url https://download.pytorch.org/whl/cpu'
             gpu-arch-type: "cpu"
             gpu-arch-version: ""
 
diff --git a/test/dtypes/test_nf4.py b/test/dtypes/test_nf4.py
index 1d63eb33e2..f52644cdf3 100644
--- a/test/dtypes/test_nf4.py
+++ b/test/dtypes/test_nf4.py
@@ -39,7 +39,7 @@
     to_nf4,
 )
 from torchao.testing.utils import skip_if_rocm
-from torchao.utils import TORCH_VERSION_AT_LEAST_2_8
+from torchao.utils import TORCH_VERSION_AT_LEAST_2_7
 
 bnb_available = False
 
@@ -119,7 +119,7 @@ def test_backward_dtype_match(self, dtype: torch.dtype):
     @unittest.skipIf(not bnb_available, "Need bnb availble")
     @unittest.skipIf(not torch.cuda.is_available(), "Need CUDA available")
     @unittest.skipIf(
-        TORCH_VERSION_AT_LEAST_2_8, reason="Failing in CI"
+        TORCH_VERSION_AT_LEAST_2_7, reason="Failing in CI"
     )  # TODO: fix this
     @skip_if_rocm("ROCm enablement in progress")
     @parametrize("dtype", [torch.bfloat16, torch.float16, torch.float32])
@@ -146,7 +146,7 @@ def test_reconstruction_qlora_vs_bnb(self, dtype: torch.dtype):
     @unittest.skipIf(not torch.cuda.is_available(), "Need CUDA available")
     @skip_if_rocm("ROCm enablement in progress")
     @unittest.skipIf(
-        TORCH_VERSION_AT_LEAST_2_8, reason="Failing in CI"
+        TORCH_VERSION_AT_LEAST_2_7, reason="Failing in CI"
     )  # TODO: fix this
     @parametrize("dtype", [torch.bfloat16, torch.float16, torch.float32])
     def test_nf4_bnb_linear(self, dtype: torch.dtype):
diff --git a/test/quantization/test_galore_quant.py b/test/quantization/test_galore_quant.py
index d32250cdb9..9930ae3e02 100644
--- a/test/quantization/test_galore_quant.py
+++ b/test/quantization/test_galore_quant.py
@@ -7,7 +7,7 @@
 
 import pytest
 
-from torchao.utils import TORCH_VERSION_AT_LEAST_2_8
+from torchao.utils import TORCH_VERSION_AT_LEAST_2_7
 
 # Skip entire test if triton is not available, otherwise CI failure
 try:  # noqa: F401
@@ -94,7 +94,7 @@ def test_galore_quantize_blockwise(dim1, dim2, dtype, signed, blocksize):
 @skip_if_rocm("ROCm enablement in progress")
 @pytest.mark.skipif(not torch.cuda.is_available(), reason="Need CUDA available")
 @pytest.mark.skipif(
-    TORCH_VERSION_AT_LEAST_2_8, reason="Failing in CI"
+    TORCH_VERSION_AT_LEAST_2_7, reason="Failing in CI"
 )  # TODO: fix this
 def test_galore_dequant_blockwise(dim1, dim2, dtype, signed, blocksize):
     g = torch.randn(dim1, dim2, device="cuda", dtype=dtype) * 0.01
diff --git a/test/test_low_bit_optim.py b/test/test_low_bit_optim.py
index c6890b05c0..43941329e1 100644
--- a/test/test_low_bit_optim.py
+++ b/test/test_low_bit_optim.py
@@ -35,7 +35,7 @@
 from torchao.utils import (
     TORCH_VERSION_AT_LEAST_2_4,
     TORCH_VERSION_AT_LEAST_2_5,
-    TORCH_VERSION_AT_LEAST_2_8,
+    TORCH_VERSION_AT_LEAST_2_7,
     get_available_devices,
 )
 
@@ -197,7 +197,7 @@ def test_subclass_slice(self, subclass, shape, device):
     )
     @skip_if_rocm("ROCm enablement in progress")
     @pytest.mark.skipif(
-        TORCH_VERSION_AT_LEAST_2_8, reason="Failing in CI"
+        TORCH_VERSION_AT_LEAST_2_7, reason="Failing in CI"
     )  # TODO: fix this
     @parametrize("optim_name", ["Adam8bit", "AdamW8bit"])
     def test_optim_8bit_correctness(self, optim_name):