diff --git a/bindings/python/pyproject.toml b/bindings/python/pyproject.toml
index aeea5a98..d69b1947 100644
--- a/bindings/python/pyproject.toml
+++ b/bindings/python/pyproject.toml
@@ -16,7 +16,7 @@
 requires = [
     "setuptools>=42",
     "scikit-build",
-    "cmake>=3.21, <4",      # Keep in-sync with `CMakeLists.txt`
+    "cmake>=4, <5",      # Keep in-sync with `CMakeLists.txt`
     "numpy>=1.10.0, <2",    # Keep in-sync with `setup.py`
     "archspec>=0.2.0",  # Keep in-sync with `setup.py`
     "toml>=0.10.2",     # Keep in-sync with `setup.py` required for the tests