diff --git a/monai/bundle/scripts.py b/monai/bundle/scripts.py
index 884723ed68..131c78008b 100644
--- a/monai/bundle/scripts.py
+++ b/monai/bundle/scripts.py
@@ -1589,6 +1589,8 @@ def trt_export(
     """
     Export the model checkpoint to the given filepath as a TensorRT engine-based TorchScript.
     Currently, this API only supports converting models whose inputs are all tensors.
+    Note: NVIDIA Volta support (GPUs with compute capability 7.0) has been removed starting with TensorRT 10.5.
+    Review the TensorRT Support Matrix for which GPUs are supported.
 
     There are two ways to export a model:
     1, Torch-TensorRT way: PyTorch module ---> TorchScript module ---> TensorRT engine-based TorchScript.
diff --git a/monai/networks/trt_compiler.py b/monai/networks/trt_compiler.py
index a360f63dbd..d2d05fae22 100644
--- a/monai/networks/trt_compiler.py
+++ b/monai/networks/trt_compiler.py
@@ -505,7 +505,9 @@ def trt_compile(
 ) -> torch.nn.Module:
     """
     Instruments model or submodule(s) with TrtCompiler and replaces its forward() with TRT hook.
-    Note: TRT 10.3 is recommended for best performance. Some nets may even fail to work with TRT 8.x
+    Note: TRT 10.3 is recommended for best performance. Some nets may even fail to work with TRT 8.x.
+        NVIDIA Volta support (GPUs with compute capability 7.0) has been removed starting with TensorRT 10.5.
+        Review the TensorRT Support Matrix for which GPUs are supported.
     Args:
       model: module to patch with TrtCompiler object.
       base_path: TRT plan(s) saved to f"{base_path}[.{submodule}].plan" path.
diff --git a/monai/utils/__init__.py b/monai/utils/__init__.py
index 79dc1f2304..8f2f400b5d 100644
--- a/monai/utils/__init__.py
+++ b/monai/utils/__init__.py
@@ -107,6 +107,7 @@
     InvalidPyTorchVersionError,
     OptionalImportError,
     allow_missing_reference,
+    compute_capabilities_after,
     damerau_levenshtein_distance,
     exact_version,
     get_full_type_name,
diff --git a/monai/utils/module.py b/monai/utils/module.py
index 1f7f8aecfc..d3f2ff09f2 100644
--- a/monai/utils/module.py
+++ b/monai/utils/module.py
@@ -634,3 +634,44 @@ def pytorch_after(major: int, minor: int, patch: int = 0, current_ver_string: st
     if is_prerelease:
         return False
     return True
+
+
+@functools.lru_cache(None)
+def compute_capabilities_after(major: int, minor: int = 0, current_ver_string: str | None = None) -> bool:
+    """
+    Compute whether the current system GPU CUDA compute capability is after or equal to the specified version.
+    The current system GPU CUDA compute capability is determined by the first GPU in the system.
+    The compared version is a string in the form of "major.minor".
+
+    Args:
+        major: major version number to be compared with.
+        minor: minor version number to be compared with. Defaults to 0.
+        current_ver_string: if None, the current system GPU CUDA compute capability will be used.
+
+    Returns:
+        True if the current system GPU CUDA compute capability is greater than or equal to the specified version.
+    """
+    if current_ver_string is None:
+        cuda_available = torch.cuda.is_available()
+        pynvml, has_pynvml = optional_import("pynvml")
+        if not has_pynvml:  # assuming that the user has Ampere and later GPU
+            return True
+        if not cuda_available:
+            return False
+        else:
+            pynvml.nvmlInit()
+            handle = pynvml.nvmlDeviceGetHandleByIndex(0)  # get the first GPU
+            major_c, minor_c = pynvml.nvmlDeviceGetCudaComputeCapability(handle)
+            current_ver_string = f"{major_c}.{minor_c}"
+            pynvml.nvmlShutdown()
+
+    ver, has_ver = optional_import("packaging.version", name="parse")
+    if has_ver:
+        return ver(".".join((f"{major}", f"{minor}"))) <= ver(f"{current_ver_string}")  # type: ignore
+    parts = f"{current_ver_string}".split("+", 1)[0].split(".", 2)
+    while len(parts) < 2:
+        parts += ["0"]
+    c_major, c_minor = parts[:2]
+    c_mn = int(c_major), int(c_minor)
+    mn = int(major), int(minor)
+    return c_mn > mn
diff --git a/tests/test_bundle_trt_export.py b/tests/test_bundle_trt_export.py
index 833a0ca1dc..835c8e5c1d 100644
--- a/tests/test_bundle_trt_export.py
+++ b/tests/test_bundle_trt_export.py
@@ -22,7 +22,13 @@
 from monai.data import load_net_with_metadata
 from monai.networks import save_state
 from monai.utils import optional_import
-from tests.utils import command_line_tests, skip_if_no_cuda, skip_if_quick, skip_if_windows
+from tests.utils import (
+    SkipIfBeforeComputeCapabilityVersion,
+    command_line_tests,
+    skip_if_no_cuda,
+    skip_if_quick,
+    skip_if_windows,
+)
 
 _, has_torchtrt = optional_import(
     "torch_tensorrt",
@@ -47,6 +53,7 @@
 @skip_if_windows
 @skip_if_no_cuda
 @skip_if_quick
+@SkipIfBeforeComputeCapabilityVersion((7, 0))
 class TestTRTExport(unittest.TestCase):
 
     def setUp(self):
diff --git a/tests/test_convert_to_trt.py b/tests/test_convert_to_trt.py
index 5579539764..712d887c3b 100644
--- a/tests/test_convert_to_trt.py
+++ b/tests/test_convert_to_trt.py
@@ -20,7 +20,7 @@
 from monai.networks import convert_to_trt
 from monai.networks.nets import UNet
 from monai.utils import optional_import
-from tests.utils import skip_if_no_cuda, skip_if_quick, skip_if_windows
+from tests.utils import SkipIfBeforeComputeCapabilityVersion, skip_if_no_cuda, skip_if_quick, skip_if_windows
 
 _, has_torchtrt = optional_import(
     "torch_tensorrt",
@@ -38,6 +38,7 @@
 @skip_if_windows
 @skip_if_no_cuda
 @skip_if_quick
+@SkipIfBeforeComputeCapabilityVersion((7, 0))
 class TestConvertToTRT(unittest.TestCase):
 
     def setUp(self):
diff --git a/tests/test_trt_compile.py b/tests/test_trt_compile.py
index 6df5d520bd..49404fdbbe 100644
--- a/tests/test_trt_compile.py
+++ b/tests/test_trt_compile.py
@@ -21,7 +21,13 @@
 from monai.networks import trt_compile
 from monai.networks.nets import UNet, cell_sam_wrapper, vista3d132
 from monai.utils import min_version, optional_import
-from tests.utils import SkipIfAtLeastPyTorchVersion, skip_if_no_cuda, skip_if_quick, skip_if_windows
+from tests.utils import (
+    SkipIfAtLeastPyTorchVersion,
+    SkipIfBeforeComputeCapabilityVersion,
+    skip_if_no_cuda,
+    skip_if_quick,
+    skip_if_windows,
+)
 
 trt, trt_imported = optional_import("tensorrt", "10.1.0", min_version)
 polygraphy, polygraphy_imported = optional_import("polygraphy")
@@ -36,6 +42,7 @@
 @skip_if_quick
 @unittest.skipUnless(trt_imported, "tensorrt is required")
 @unittest.skipUnless(polygraphy_imported, "polygraphy is required")
+@SkipIfBeforeComputeCapabilityVersion((7, 0))
 class TestTRTCompile(unittest.TestCase):
 
     def setUp(self):
diff --git a/tests/test_pytorch_version_after.py b/tests/test_version_after.py
similarity index 72%
rename from tests/test_pytorch_version_after.py
rename to tests/test_version_after.py
index 147707d2c0..b6cb741382 100644
--- a/tests/test_pytorch_version_after.py
+++ b/tests/test_version_after.py
@@ -15,9 +15,9 @@
 
 from parameterized import parameterized
 
-from monai.utils import pytorch_after
+from monai.utils import compute_capabilities_after, pytorch_after
 
-TEST_CASES = (
+TEST_CASES_PT = (
     (1, 5, 9, "1.6.0"),
     (1, 6, 0, "1.6.0"),
     (1, 6, 1, "1.6.0", False),
@@ -36,14 +36,30 @@
     (1, 6, 1, "1.6.0+cpu", False),
 )
 
+TEST_CASES_SM = [
+    # (major, minor, sm, expected)
+    (6, 1, "6.1", True),
+    (6, 1, "6.0", False),
+    (6, 0, "8.6", True),
+    (7, 0, "8", True),
+    (8, 6, "8", False),
+]
+
 
 class TestPytorchVersionCompare(unittest.TestCase):
 
-    @parameterized.expand(TEST_CASES)
+    @parameterized.expand(TEST_CASES_PT)
     def test_compare(self, a, b, p, current, expected=True):
         """Test pytorch_after with a and b"""
         self.assertEqual(pytorch_after(a, b, p, current), expected)
 
 
+class TestComputeCapabilitiesAfter(unittest.TestCase):
+
+    @parameterized.expand(TEST_CASES_SM)
+    def test_compute_capabilities_after(self, major, minor, sm, expected):
+        self.assertEqual(compute_capabilities_after(major, minor, sm), expected)
+
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/tests/utils.py b/tests/utils.py
index 77b53cebb8..2a00af50e9 100644
--- a/tests/utils.py
+++ b/tests/utils.py
@@ -47,7 +47,7 @@
 from monai.networks import convert_to_onnx, convert_to_torchscript
 from monai.utils import optional_import
 from monai.utils.misc import MONAIEnvVars
-from monai.utils.module import pytorch_after
+from monai.utils.module import compute_capabilities_after, pytorch_after
 from monai.utils.tf32 import detect_default_tf32
 from monai.utils.type_conversion import convert_data_type
 
@@ -286,6 +286,20 @@ def __call__(self, obj):
         )(obj)
 
 
+class SkipIfBeforeComputeCapabilityVersion:
+    """Decorator to be used if test should be skipped
+    with Compute Capability older than that given."""
+
+    def __init__(self, compute_capability_tuple):
+        self.min_version = compute_capability_tuple
+        self.version_too_old = not compute_capabilities_after(*compute_capability_tuple)
+
+    def __call__(self, obj):
+        return unittest.skipIf(
+            self.version_too_old, f"Skipping tests that fail on Compute Capability versions before: {self.min_version}"
+        )(obj)
+
+
 def is_main_test_process():
     ps = torch.multiprocessing.current_process()
     if not ps or not hasattr(ps, "name"):