diff --git a/news/8758.bugfix b/news/8758.bugfix
new file mode 100644
index 000000000..9f44b7e47
--- /dev/null
+++ b/news/8758.bugfix
@@ -0,0 +1,2 @@
+New resolver: Correctly respect ``Requires-Python`` metadata to reject
+incompatible packages in ``--no-deps`` mode.
diff --git a/src/pip/_internal/resolution/resolvelib/candidates.py b/src/pip/_internal/resolution/resolvelib/candidates.py
index 46cc7e7a2..8b39d2dcb 100644
--- a/src/pip/_internal/resolution/resolvelib/candidates.py
+++ b/src/pip/_internal/resolution/resolvelib/candidates.py
@@ -261,31 +261,25 @@ class _InstallRequirementBackedCandidate(Candidate):
             self._fetch_metadata()
         return self._dist
 
-    def _get_requires_python_specifier(self):
-        # type: () -> Optional[SpecifierSet]
+    def _get_requires_python_dependency(self):
+        # type: () -> Optional[Requirement]
         requires_python = get_requires_python(self.dist)
         if requires_python is None:
             return None
         try:
             spec = SpecifierSet(requires_python)
         except InvalidSpecifier as e:
-            logger.warning(
-                "Package %r has an invalid Requires-Python: %s", self.name, e,
-            )
+            message = "Package %r has an invalid Requires-Python: %s"
+            logger.warning(message, self.name, e)
             return None
-        return spec
+        return self._factory.make_requires_python_requirement(spec)
 
     def iter_dependencies(self, with_requires):
         # type: (bool) -> Iterable[Optional[Requirement]]
-        if not with_requires:
-            return
-        for r in self.dist.requires():
+        requires = self.dist.requires() if with_requires else ()
+        for r in requires:
             yield self._factory.make_requirement_from_spec(str(r), self._ireq)
-        python_dep = self._factory.make_requires_python_requirement(
-            self._get_requires_python_specifier(),
-        )
-        if python_dep:
-            yield python_dep
+        yield self._get_requires_python_dependency()
 
     def get_install_requirement(self):
         # type: () -> Optional[InstallRequirement]
diff --git a/tests/functional/test_new_resolver.py b/tests/functional/test_new_resolver.py
index 46e32ddd3..1dab8d470 100644
--- a/tests/functional/test_new_resolver.py
+++ b/tests/functional/test_new_resolver.py
@@ -988,3 +988,35 @@ def test_new_resolver_local_and_req(script):
         source_dir, "pkg!=0.1.0",
         expect_error=True,
     )
+
+
+def test_new_resolver_no_deps_checks_requires_python(script):
+    create_basic_wheel_for_package(
+        script,
+        "base",
+        "0.1.0",
+        depends=["dep"],
+        requires_python="<2",  # Something that always fails.
+    )
+    create_basic_wheel_for_package(
+        script,
+        "dep",
+        "0.2.0",
+    )
+
+    result = script.pip(
+        "install",
+        "--use-feature=2020-resolver",
+        "--no-cache-dir",
+        "--no-index",
+        "--no-deps",
+        "--find-links", script.scratch_path,
+        "base",
+        expect_error=True,
+    )
+
+    message = (
+        "Package 'base' requires a different Python: "
+        "{}.{}.{} not in '<2'".format(*sys.version_info[:3])
+    )
+    assert message in result.stderr