diff --git a/src/installer/destinations.py b/src/installer/destinations.py
index d948356..f54bf19 100644
--- a/src/installer/destinations.py
+++ b/src/installer/destinations.py
@@ -268,7 +268,7 @@ def _compile_bytecode(self, scheme: Scheme, record: RecordEntry) -> None:
 
         for level in self.bytecode_optimization_levels:
             compileall.compile_file(
-                target_path, optimize=level, quiet=1, ddir=dir_path_to_embed
+                target_path, optimize=level, quiet=2, ddir=dir_path_to_embed
             )
 
     def finalize_installation(
diff --git a/tests/test_main.py b/tests/test_main.py
index cb09b3d..e6181a5 100644
--- a/tests/test_main.py
+++ b/tests/test_main.py
@@ -1,4 +1,6 @@
 import os
+import sys
+import types
 
 import pytest
 
@@ -90,6 +92,31 @@ def test_main_no_pyc(fancy_wheel, tmp_path):
     assert set(installed_pyc_files) == set()
 
 
+def test_main_silences_bytecode_compile_failures(
+    fancy_wheel, tmp_path, monkeypatch, capsys
+):
+    calls = []
+
+    def fake_compile_file(*args, **kwargs):
+        calls.append((args, kwargs))
+        if kwargs["quiet"] != 2:
+            sys.stderr.write("*** Error compiling test module...\n")
+        return False
+
+    monkeypatch.setitem(
+        sys.modules, "compileall", types.SimpleNamespace(compile_file=fake_compile_file)
+    )
+
+    destdir = tmp_path / "dest"
+
+    main([str(fancy_wheel), "-d", str(destdir)], "python -m installer")
+
+    captured = capsys.readouterr()
+    assert captured.err == ""
+    assert calls
+    assert all(kwargs["quiet"] == 2 for _, kwargs in calls)
+
+
 @pytest.mark.parametrize(
     "validation_part",
     ["all", "entries", "none"],