@@ -15,7 +15,7 @@ Breaking Changes
 ----------------
 
 - ``cuda.core`` now requires a minimum ``cuda-bindings`` version per CUDA major, at build and run
-  time: 12.9.8 for CUDA 12 and 13.4.1 for CUDA 13. See the
+  time: 12.9.8 for CUDA 12 and 13.5.0 for CUDA 13. See the
   :ref:`support policy <cuda-core-bindings-floor>`. ``import cuda.core`` with an older
   ``cuda-bindings`` fails with a message that names the required version and how to install it.
   ``pip install cuda-core[cu12]`` or ``pip install cuda-core[cu13]`` installs a compatible
 
@@ -61,7 +61,7 @@ dependencies = [
 # checklist in AGENTS.md). Keep the form `>=<floor>,<<next major>`.
 [project.optional-dependencies]
 cu12 = ["cuda-bindings[all]>=12.9.8,<13", "cuda-toolkit==12.*"]
-cu13 = ["cuda-bindings[all]>=13.4.1,<14", "cuda-toolkit==13.*"]
+cu13 = ["cuda-bindings[all]>=13.5.0,<14", "cuda-toolkit==13.*"]
 
 [dependency-groups]
 # Keep build in sync with build-system.requires; install local cuda-pathfinder separately.
 
@@ -653,6 +653,17 @@ def _write_cuda_h(tmp_path, cuda_version):
     return str(tmp_path)
 
 
+def _mismatched_headers():
+    """CUDA_VERSION values one minor below and one minor above the floor of each
+    major. Derived from the floors so that bumping one does not make a case
+    match."""
+    headers = []
+    for floor in build_hooks._bindings_floors().values():
+        for minor in (floor[1] - 1, floor[1] + 1):
+            headers.append(floor[0] * 1000 + minor * 10)
+    return sorted(headers)
+
+
 class TestBuildConfigurationCheck:
     """_check_build_configuration() accepts exactly one configuration per CUDA
     major: cuda-bindings at or above the floor, and a cuda.h of the same
@@ -690,7 +701,7 @@ def test_bindings_of_another_major_fail(self, tmp_path, monkeypatch):
             build_hooks._check_build_configuration(cuda_path, "12")
 
     @pytest.mark.agent_authored(model="claude-fable-5-1")
-    @pytest.mark.parametrize("header", [13030, 13050, 12090])
+    @pytest.mark.parametrize("header", _mismatched_headers())
     def test_header_minor_must_match_bindings(self, tmp_path, monkeypatch, header):
         floor = self.FLOOR[13]
         _fake_bindings(monkeypatch, _floor_str(13))