diff --git a/news/12731.feature.rst b/news/12731.feature.rst
new file mode 100644
index 00000000000..7fc09b3312d
--- /dev/null
+++ b/news/12731.feature.rst
@@ -0,0 +1,2 @@
+Show a helpful hint when attempting to install a standard library module,
+informing users that the module is built-in and can be imported directly.
diff --git a/src/pip/_internal/commands/index.py b/src/pip/_internal/commands/index.py
index 40b8f580f4b..52ee1523b44 100644
--- a/src/pip/_internal/commands/index.py
+++ b/src/pip/_internal/commands/index.py
@@ -22,6 +22,7 @@
 from pip._internal.models.selection_prefs import SelectionPreferences
 from pip._internal.models.target_python import TargetPython
 from pip._internal.network.session import PipSession
+from pip._internal.utils.compat import warn_stdlib_module
 from pip._internal.utils.misc import write_output
 
 logger = logging.getLogger(__name__)
@@ -139,6 +140,7 @@ def get_available_package_versions(self, options: Values, args: list[Any]) -> No
             versions = set(versions)
 
             if not versions:
+                warn_stdlib_module(query)
                 raise DistributionNotFound(
                     f"No matching distribution found for {query}"
                 )
diff --git a/src/pip/_internal/index/package_finder.py b/src/pip/_internal/index/package_finder.py
index aa7c2ebd48e..92c135df239 100644
--- a/src/pip/_internal/index/package_finder.py
+++ b/src/pip/_internal/index/package_finder.py
@@ -41,6 +41,7 @@
 from pip._internal.models.wheel import Wheel
 from pip._internal.req import InstallRequirement
 from pip._internal.utils._log import getLogger
+from pip._internal.utils.compat import warn_stdlib_module
 from pip._internal.utils.filetypes import WHEEL_EXTENSION
 from pip._internal.utils.hashes import Hashes
 from pip._internal.utils.logging import indent_log
@@ -1037,6 +1038,11 @@ def _format_versions(cand_iter: Iterable[InstallationCandidate]) -> str:
                 _format_versions(best_candidate_result.all_candidates),
             )
 
+            # Only show stdlib hint for top-level requirements (not dependencies).
+            is_top_level = not isinstance(req.comes_from, InstallRequirement)
+            if is_top_level:
+                warn_stdlib_module(name)
+
             raise DistributionNotFound(f"No matching distribution found for {req}")
 
         def _should_install_candidate(
diff --git a/src/pip/_internal/resolution/resolvelib/factory.py b/src/pip/_internal/resolution/resolvelib/factory.py
index ede3e6b2b94..31cf058d81d 100644
--- a/src/pip/_internal/resolution/resolvelib/factory.py
+++ b/src/pip/_internal/resolution/resolvelib/factory.py
@@ -43,6 +43,7 @@
     check_invalid_constraint_type,
 )
 from pip._internal.resolution.base import InstallRequirementProvider
+from pip._internal.utils.compat import warn_stdlib_module
 from pip._internal.utils.compatibility_tags import get_supported
 from pip._internal.utils.hashes import Hashes
 from pip._internal.utils.packaging import get_requirement
@@ -720,6 +721,10 @@ def _report_single_requirement_conflict(
                 "requirements.txt"
             )
 
+        # Only show stdlib hint for top-level requirements (not dependencies).
+        if parent is None:
+            warn_stdlib_module(req.project_name)
+
         return DistributionNotFound(f"No matching distribution found for {req}")
 
     def _has_any_candidates(self, project_name: str) -> bool:
diff --git a/src/pip/_internal/utils/compat.py b/src/pip/_internal/utils/compat.py
index 324789f1d2e..37ccab80065 100644
--- a/src/pip/_internal/utils/compat.py
+++ b/src/pip/_internal/utils/compat.py
@@ -7,7 +7,14 @@
 import sys
 from typing import IO
 
-__all__ = ["get_path_uid", "stdlib_pkgs", "tomllib", "WINDOWS"]
+__all__ = [
+    "get_path_uid",
+    "stdlib_pkgs",
+    "stdlib_module_names",
+    "tomllib",
+    "warn_stdlib_module",
+    "WINDOWS",
+]
 
 
 logger = logging.getLogger(__name__)
@@ -80,6 +87,22 @@ def open_text_resource(
 # make this ineffective, so hard-coding
 stdlib_pkgs = {"python", "wsgiref", "argparse"}
 
+# sys.stdlib_module_names is only available in Python 3.10+
+# This is used to provide helpful error messages when users try to install
+# standard library modules
+stdlib_module_names: frozenset[str] = getattr(sys, "stdlib_module_names", frozenset())
+
+
+def warn_stdlib_module(name: str) -> None:
+    """Warn if a package name matches a Python standard library module."""
+    if name in stdlib_module_names:
+        logger.warning(
+            "%r is a Python standard library module name; it likely does not "
+            "need to be installed. Installing a package with the same name "
+            "may override it and break imports.",
+            name,
+        )
+
 
 # windows detection, covers cpython and ironpython
 WINDOWS = sys.platform.startswith("win") or (sys.platform == "cli" and os.name == "nt")
diff --git a/tests/functional/test_index.py b/tests/functional/test_index.py
index 57cfe7af055..f58975e4e25 100644
--- a/tests/functional/test_index.py
+++ b/tests/functional/test_index.py
@@ -1,4 +1,5 @@
 import json
+import sys
 
 import pytest
 
@@ -162,3 +163,23 @@ def test_index_versions_only_final_for_package(script: PipTestEnvironment) -> No
     )
     assert "1.0" in result.stdout
     assert "2.0a1" not in result.stdout
+
+
+@pytest.mark.skipif(
+    sys.version_info < (3, 10),
+    reason="sys.stdlib_module_names only available in Python 3.10+",
+)
+def test_index_versions_stdlib_module_hint(script: PipTestEnvironment) -> None:
+    """
+    Test that pip index shows a warning when querying a stdlib module name.
+    """
+    result = script.pip(
+        "index",
+        "versions",
+        "--no-index",
+        "os",  # stdlib module
+        expect_error=True,
+    )
+
+    assert "No matching distribution found for os" in result.stderr, str(result)
+    assert "is a Python standard library module name" in result.stderr, str(result)
diff --git a/tests/functional/test_new_resolver.py b/tests/functional/test_new_resolver.py
index b5b26128037..ac91d855b68 100644
--- a/tests/functional/test_new_resolver.py
+++ b/tests/functional/test_new_resolver.py
@@ -301,6 +301,28 @@ def test_new_resolver_no_dist_message(script: PipTestEnvironment) -> None:
     assert "No matching distribution found for B" in result.stderr, str(result)
 
 
+@pytest.mark.skipif(
+    sys.version_info < (3, 10),
+    reason="sys.stdlib_module_names only available in Python 3.10+",
+)
+def test_new_resolver_stdlib_module_hint(script: PipTestEnvironment) -> None:
+    """
+    Test that pip shows a warning when the user tries to install
+    a standard library module name.
+    """
+    result = script.pip(
+        "install",
+        "--no-cache-dir",
+        "--no-index",
+        "os",  # stdlib module
+        expect_error=True,
+        expect_stderr=True,
+    )
+
+    assert "No matching distribution found for os" in result.stderr, str(result)
+    assert "is a Python standard library module name" in result.stderr, str(result)
+
+
 def test_new_resolver_installs_editable(script: PipTestEnvironment) -> None:
     create_basic_wheel_for_package(
         script,
diff --git a/tests/unit/test_finder.py b/tests/unit/test_finder.py
index 74f366b9af4..359295b0178 100644
--- a/tests/unit/test_finder.py
+++ b/tests/unit/test_finder.py
@@ -1,5 +1,6 @@
 import datetime
 import logging
+import sys
 from collections.abc import Iterable
 from unittest.mock import Mock, patch
 
@@ -43,6 +44,28 @@ def test_no_partial_name_match(data: TestData) -> None:
     assert found.link.url.endswith("gmpy-1.15.tar.gz"), found
 
 
+@pytest.mark.skipif(
+    sys.version_info < (3, 10),
+    reason="sys.stdlib_module_names only available in Python 3.10+",
+)
+def test_find_requirement_stdlib_module_warning(
+    caplog: pytest.LogCaptureFixture,
+) -> None:
+    """Finder warns when a top-level requirement matches a stdlib module name."""
+    patched_exists = patch(
+        "pip._internal.index.collector.os.path.exists", return_value=True
+    )
+    with patched_exists:
+        finder = make_test_finder(find_links=["~/python-pkgs"])
+    req = install_req_from_line("os")
+    with (
+        caplog.at_level(logging.WARNING, logger="pip._internal.utils.compat"),
+        pytest.raises(DistributionNotFound),
+    ):
+        finder.find_requirement(req, False)
+    assert "is a Python standard library module name" in caplog.text
+
+
 def test_tilde() -> None:
     """Finder can accept a path with ~ in it and will normalize it."""
     patched_exists = patch(