diff --git a/cibuildwheel/resources/constraints-python310.txt b/cibuildwheel/resources/constraints-python310.txt
index 4076fb994..951be74d4 100644
--- a/cibuildwheel/resources/constraints-python310.txt
+++ b/cibuildwheel/resources/constraints-python310.txt
@@ -1,21 +1,18 @@
-#
-# This file is autogenerated by pip-compile with Python 3.10
-# by the following command:
-#
-#    nox -s update_constraints-3.10
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.10 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python310.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
     # via virtualenv
+importlib-metadata==7.0.1
+    # via build
 packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -27,8 +24,5 @@ tomli==2.0.1
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
+zipp==3.17.0
+    # via importlib-metadata
diff --git a/cibuildwheel/resources/constraints-python311.txt b/cibuildwheel/resources/constraints-python311.txt
index e1723ac5f..55c880f65 100644
--- a/cibuildwheel/resources/constraints-python311.txt
+++ b/cibuildwheel/resources/constraints-python311.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.11
-# by the following command:
-#
-#    nox -s update_constraints-3.11
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.11 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python311.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
@@ -16,6 +10,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -23,8 +18,3 @@ pyproject-hooks==1.0.0
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/cibuildwheel/resources/constraints-python312.txt b/cibuildwheel/resources/constraints-python312.txt
index e9895dfb6..8f649dda0 100644
--- a/cibuildwheel/resources/constraints-python312.txt
+++ b/cibuildwheel/resources/constraints-python312.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.12
-# by the following command:
-#
-#    nox -s update_constraints-3.12
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.12 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python312.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
@@ -16,6 +10,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -23,8 +18,3 @@ pyproject-hooks==1.0.0
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/cibuildwheel/resources/constraints-python37.txt b/cibuildwheel/resources/constraints-python37.txt
index bc064d09a..8d23614b9 100644
--- a/cibuildwheel/resources/constraints-python37.txt
+++ b/cibuildwheel/resources/constraints-python37.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.7
-# by the following command:
-#
-#    nox -s update_constraints-3.7
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.7 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python37.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.12.2
@@ -20,6 +14,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.0.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -34,10 +29,5 @@ typing-extensions==4.7.1
     #   importlib-metadata
     #   platformdirs
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
 zipp==3.15.0
     # via importlib-metadata
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/cibuildwheel/resources/constraints-python38.txt b/cibuildwheel/resources/constraints-python38.txt
index 027cc0055..bd1bf6030 100644
--- a/cibuildwheel/resources/constraints-python38.txt
+++ b/cibuildwheel/resources/constraints-python38.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.8
-# by the following command:
-#
-#    nox -s update_constraints-3.8
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.8 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python38.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
@@ -18,6 +12,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -29,10 +24,5 @@ tomli==2.0.1
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
 zipp==3.17.0
     # via importlib-metadata
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/cibuildwheel/resources/constraints-python39.txt b/cibuildwheel/resources/constraints-python39.txt
index 8662e7bb7..80046c154 100644
--- a/cibuildwheel/resources/constraints-python39.txt
+++ b/cibuildwheel/resources/constraints-python39.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.9
-# by the following command:
-#
-#    nox -s update_constraints-3.9
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.9 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python39.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
@@ -18,6 +12,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -29,10 +24,5 @@ tomli==2.0.1
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
 zipp==3.17.0
     # via importlib-metadata
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/cibuildwheel/resources/constraints.txt b/cibuildwheel/resources/constraints.txt
index e9895dfb6..8f649dda0 100644
--- a/cibuildwheel/resources/constraints.txt
+++ b/cibuildwheel/resources/constraints.txt
@@ -1,13 +1,7 @@
-#
-# This file is autogenerated by pip-compile with Python 3.12
-# by the following command:
-#
-#    nox -s update_constraints-3.12
-#
+# This file was autogenerated by uv via the following command:
+#    uv pip compile --python-version=3.12 cibuildwheel/resources/constraints.in --output-file=cibuildwheel/resources/constraints-python312.txt
 build==1.1.1
-    # via -r cibuildwheel/resources/constraints.in
 delocate==0.10.7
-    # via -r cibuildwheel/resources/constraints.in
 distlib==0.3.8
     # via virtualenv
 filelock==3.13.1
@@ -16,6 +10,7 @@ packaging==23.2
     # via
     #   build
     #   delocate
+pip==24.0
 platformdirs==4.2.0
     # via virtualenv
 pyproject-hooks==1.0.0
@@ -23,8 +18,3 @@ pyproject-hooks==1.0.0
 typing-extensions==4.10.0
     # via delocate
 virtualenv==20.25.1
-    # via -r cibuildwheel/resources/constraints.in
-
-# The following packages are considered to be unsafe in a requirements file:
-pip==24.0
-    # via -r cibuildwheel/resources/constraints.in
diff --git a/noxfile.py b/noxfile.py
index 8747b91dd..b761203f4 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -9,8 +9,6 @@
 
 nox.options.sessions = ["lint", "pylint", "check_manifest", "tests"]
 
-PYTHON_ALL_VERSIONS = ["3.7", "3.8", "3.9", "3.10", "3.11", "3.12"]
-
 DIR = Path(__file__).parent.resolve()
 
 if os.environ.get("CI", None):
@@ -60,32 +58,33 @@ def check_manifest(session: nox.Session) -> None:
     session.run("check-manifest", *session.posargs)
 
 
-@nox.session(python=PYTHON_ALL_VERSIONS)
+@nox.session
 def update_constraints(session: nox.Session) -> None:
     """
     Update the dependencies inplace.
     """
-    session.install("pip-tools")
-    assert isinstance(session.python, str)
-    python_version = session.python.replace(".", "")
-    env = os.environ.copy()
-    # CUSTOM_COMPILE_COMMAND is a pip-compile option that tells users how to
-    # regenerate the constraints files
-    env["CUSTOM_COMPILE_COMMAND"] = f"nox -s {session.name}"
-    session.run(
-        "pip-compile",
-        "--allow-unsafe",
-        "--upgrade",
-        "cibuildwheel/resources/constraints.in",
-        f"--output-file=cibuildwheel/resources/constraints-python{python_version}.txt",
-        env=env,
-    )
-    if session.python == PYTHON_ALL_VERSIONS[-1]:
-        RESOURCES = DIR / "cibuildwheel" / "resources"
-        shutil.copyfile(
-            RESOURCES / f"constraints-python{python_version}.txt",
-            RESOURCES / "constraints.txt",
+    session.install("uv")
+    for minor_version in range(7, 13):
+        python_version = f"3.{minor_version}"
+        env = os.environ.copy()
+        # CUSTOM_COMPILE_COMMAND is a pip-compile option that tells users how to
+        # regenerate the constraints files
+        env["CUSTOM_COMPILE_COMMAND"] = f"nox -s {session.name}"
+        session.run(
+            "uv",
+            "pip",
+            "compile",
+            f"--python-version={python_version}",
+            "--upgrade",
+            "cibuildwheel/resources/constraints.in",
+            f"--output-file=cibuildwheel/resources/constraints-python{python_version.replace('.', '')}.txt",
+            env=env,
         )
+    RESOURCES = DIR / "cibuildwheel" / "resources"
+    shutil.copyfile(
+        RESOURCES / "constraints-python312.txt",
+        RESOURCES / "constraints.txt",
+    )
 
 
 @nox.session