diff --git a/constraints.txt b/constraints.txt
deleted file mode 100644
index e9f6da3..0000000
--- a/constraints.txt
+++ /dev/null
@@ -1 +0,0 @@
-wheel==0.44.0
diff --git a/dist/SHA256SUMS b/dist/SHA256SUMS
index ca0ab09..1c5e5ff 100644
--- a/dist/SHA256SUMS
+++ b/dist/SHA256SUMS
@@ -1,2 +1,2 @@
-f12e5d9d8bfd39e33e4774e1ecfea5a084c7683dd3088d192902ebabca7d4141  reproducibly-0.0.11-py3-none-any.whl
-e5b873bab5cf10bc9e1a3cb925b9053c4136f9309190d636ee6d6b2aef4e1c95  reproducibly-0.0.11.tar.gz
+c69f6940be8ccec22f5ad22ffac310818d2f155b432cfec79366a175ed0d86e0  reproducibly-0.0.11-py3-none-any.whl
+175fee2ef6f1ea565bd8756773766765fd5ddf911ac27442bcc700d38e51de30  reproducibly-0.0.11.tar.gz
diff --git a/reproducibly.py b/reproducibly.py
index 8963f45..fc414e9 100644
--- a/reproducibly.py
+++ b/reproducibly.py
@@ -33,7 +33,6 @@
 from build.env import DefaultIsolatedEnv
 from cibuildwheel.__main__ import build_in_directory
 from cibuildwheel.options import CommandLineArguments
-from packaging.requirements import Requirement
 from pyproject_hooks import default_subprocess_runner
 
 # [[[cog import cog ; from pathlib import Path ]]]
@@ -72,15 +71,6 @@
 EARLIEST = datetime(1980, 1, 1, 0, 0, 0).timestamp()  # 315532800.0
 
 
-CONSTRAINTS = {
-    # [[[cog
-    # for line in Path("constraints.txt").read_text().splitlines():
-    #   cog.outl(f'"{line}",')
-    # ]]]
-    "wheel==0.44.0",
-    # [[[end]]]
-}
-
 __version__ = "0.0.11"
 
 
@@ -96,8 +86,8 @@ def _build(
             srcdir,
             runner=default_subprocess_runner,
         )
-        env.install(override(builder.build_system_requires))
-        env.install(override(builder.get_requires_for_build(distribution)))
+        env.install(builder.build_system_requires)
+        env.install(builder.get_requires_for_build(distribution))
         built = builder.build(distribution, output)
     return output / built
 
@@ -112,14 +102,12 @@ def _cibuildwheel(sdist: Path, output: Path) -> Path:
     """Call the cibuildwheel API
 
     Returns the path to the built distribution"""
-    filename = Path("constraints.txt")
     with (
         ModifiedEnvironment(
-            CIBW_DEPENDENCY_VERSIONS=str(filename),
             CIBW_BUILD_FRONTEND="build",
             CIBW_CONTAINER_ENGINE="podman",
             CIBW_ENVIRONMENT_PASS_LINUX="SOURCE_DATE_EPOCH",
-            CIBW_ENVIRONMENT=f"PIP_TIMEOUT=150 PIP_CONSTRAINT=/{filename}",
+            CIBW_ENVIRONMENT="PIP_TIMEOUT=150",
         ),
         TemporaryDirectory() as directory,
     ):
@@ -129,7 +117,6 @@ def _cibuildwheel(sdist: Path, output: Path) -> Path:
         args.output_dir = Path(directory).resolve()
         args.platform = None
         with chdir(directory):  # output maybe a relative path
-            filename.write_text("\n".join(CONSTRAINTS) + "\n")
             build_in_directory(args)
         wheel = next(args.output_dir.glob("*.whl"))
         output.joinpath(wheel.name).unlink(missing_ok=True)
@@ -257,16 +244,6 @@ def key(input_: bytes | ZipInfo) -> tuple[int, list[str | list]]:
     return (group, breadth_first_key(item))
 
 
-def override(before: set[str], constraints: set[str] = CONSTRAINTS) -> set[str]:
-    """Replace certain requirements from constraints"""
-    after = set()
-    for replacement in constraints:
-        name = Requirement(replacement).name
-        for i in before:
-            after.add(replacement if Requirement(i).name == name else i)
-    return after
-
-
 def zipumask(path: Path, umask: int = 0o022) -> Path:
     """Apply a umask to a zip file at path
 
diff --git a/reproducibly_test.py b/reproducibly_test.py
index 4f25d03..c342221 100644
--- a/reproducibly_test.py
+++ b/reproducibly_test.py
@@ -30,7 +30,6 @@
     latest_modification_time,
     main,
     ModifiedEnvironment,
-    override,
     parse_args,
     zipumask,
 )
@@ -150,16 +149,6 @@ def test_basic(self):
             self.assertEqual(result, str(int(latest)))
 
 
-class TestOverride(unittest.TestCase):
-    def test_overridden_with_specific_version(self):
-        result = override({"example"}, {"example==1.2.3"})
-        self.assertEqual(result, {"example==1.2.3"})
-
-    def test_unchanged(self):
-        result = override({"example"}, {"other==1.2.3"})
-        self.assertEqual(result, {"example"})
-
-
 class TestZipumask(unittest.TestCase):
     def test_basic(self):
         with TemporaryDirectory() as tmpdir: