diff --git a/pyodide_build/common.py b/pyodide_build/common.py
index fa0448b0..aac62ef2 100644
--- a/pyodide_build/common.py
+++ b/pyodide_build/common.py
@@ -315,26 +315,30 @@ def _get_sha256_checksum(archive: Path) -> str:
     return h.hexdigest()
 
 
-def unpack_wheel(wheel_path: Path, target_dir: Path | None = None) -> None:
+def unpack_wheel(
+    wheel_path: Path, target_dir: Path | None = None, verbose=True
+) -> None:
     if target_dir is None:
         target_dir = wheel_path.parent
     result = subprocess.run(
         [sys.executable, "-m", "wheel", "unpack", wheel_path, "-d", target_dir],
         check=False,
         encoding="utf-8",
+        capture_output=not verbose,
     )
     if result.returncode != 0:
         logger.error("ERROR: Unpacking wheel %s failed", wheel_path.name)
         exit_with_stdio(result)
 
 
-def pack_wheel(wheel_dir: Path, target_dir: Path | None = None) -> None:
+def pack_wheel(wheel_dir: Path, target_dir: Path | None = None, verbose=True) -> None:
     if target_dir is None:
         target_dir = wheel_dir.parent
     result = subprocess.run(
         [sys.executable, "-m", "wheel", "pack", wheel_dir, "-d", target_dir],
         check=False,
         encoding="utf-8",
+        capture_output=not verbose,
     )
     if result.returncode != 0:
         logger.error("ERROR: Packing wheel %s failed", wheel_dir)
@@ -342,7 +346,7 @@ def pack_wheel(wheel_dir: Path, target_dir: Path | None = None) -> None:
 
 
 @contextmanager
-def modify_wheel(wheel: Path) -> Iterator[Path]:
+def modify_wheel(wheel: Path, verbose=True) -> Iterator[Path]:
     """Unpacks the wheel into a temp directory and yields the path to the
     unpacked directory.
 
@@ -353,13 +357,13 @@ def modify_wheel(wheel: Path) -> Iterator[Path]:
     wheel is left unchanged.
     """
     with TemporaryDirectory() as temp_dir:
-        unpack_wheel(wheel, Path(temp_dir))
+        unpack_wheel(wheel, Path(temp_dir), verbose=verbose)
         name, ver, _ = wheel.name.split("-", 2)
         wheel_dir_name = f"{name}-{ver}"
         wheel_dir = Path(temp_dir) / wheel_dir_name
         yield wheel_dir
         wheel.unlink()
-        pack_wheel(wheel_dir, wheel.parent)
+        pack_wheel(wheel_dir, wheel.parent, verbose=verbose)
 
 
 def retag_wheel(
diff --git a/pyodide_build/recipe/unvendor.py b/pyodide_build/recipe/unvendor.py
index e1058bd7..bea35529 100644
--- a/pyodide_build/recipe/unvendor.py
+++ b/pyodide_build/recipe/unvendor.py
@@ -44,7 +44,7 @@ def unvendor_tests_in_wheel(
     with TemporaryDirectory() as _tmpdir:
         tmpdir = Path(_tmpdir)
         test_dir = tmpdir / "tests"
-        with modify_wheel(wheel) as wheel_extract_dir:
+        with modify_wheel(wheel, verbose=False) as wheel_extract_dir:
             nmoved = unvendor_tests(
                 wheel_extract_dir,
                 test_dir,