diff --git a/.dockerignore b/.dockerignore
index 172bf57..2fe44d6 100644
--- a/.dockerignore
+++ b/.dockerignore
@@ -1 +1,4 @@
 .tox
+pip-wheel-metadata
+venv*
+*.pyz
diff --git a/.gitignore b/.gitignore
index 383cce2..76055e6 100644
--- a/.gitignore
+++ b/.gitignore
@@ -27,5 +27,5 @@ venv*
 
 *wheel-store*
 
-Dockerfile
+Dockerfile*
 .dockerignore
diff --git a/docs/changelog/1721.bugfix.rst b/docs/changelog/1721.bugfix.rst
new file mode 100644
index 0000000..52acd48
--- /dev/null
+++ b/docs/changelog/1721.bugfix.rst
@@ -0,0 +1,2 @@
+Allow the test suite to pass even when called with the system Python - to help repackaging of the tool for Linux
+distributions -  by :user:`gaborbernat`.
diff --git a/tests/unit/create/test_creator.py b/tests/unit/create/test_creator.py
index e3a3915..1153fda 100644
--- a/tests/unit/create/test_creator.py
+++ b/tests/unit/create/test_creator.py
@@ -61,6 +61,10 @@ def test_destination_exists_file(tmp_path, capsys):
 
 @pytest.mark.skipif(sys.platform == "win32", reason="Windows only applies R/O to files")
 def test_destination_not_write_able(tmp_path, capsys):
+    if hasattr(os, "geteuid"):
+        if os.geteuid() == 0:
+            pytest.skip("no way to check permission restriction when running under root")
+
     target = tmp_path
     prev_mod = target.stat().st_mode
     target.chmod(S_IREAD | S_IRGRP | S_IROTH)
@@ -196,8 +200,8 @@ def test_create_no_seed(python, creator, isolated, system, coverage_env, special
         exes = ("python.exe",)
     else:
         exes = ("python", "python{}".format(*sys.version_info), "python{}.{}".format(*sys.version_info))
-        # pypy3<=7.3: https://bitbucket.org/pypy/pypy/pull-requests/697
-        if IS_PYPY and creator_key == "venv":
+        if creator_key == "venv":
+            # for venv some repackaging does not includes the pythonx.y
             exes = exes[:-1]
     for exe in exes:
         exe_path = result.creator.bin_dir / exe
@@ -218,6 +222,10 @@ def test_create_no_seed(python, creator, isolated, system, coverage_env, special
 
 @pytest.mark.skipif(not CURRENT.has_venv, reason="requires interpreter with venv")
 def test_venv_fails_not_inline(tmp_path, capsys, mocker):
+    if hasattr(os, "geteuid"):
+        if os.geteuid() == 0:
+            pytest.skip("no way to check permission restriction when running under root")
+
     def _session_via_cli(args, options=None):
         session = session_via_cli(args, options)
         assert session.creator.can_be_inline is False
@@ -396,14 +404,33 @@ def test_create_distutils_cfg(creator, tmp_path, monkeypatch):
 
     monkeypatch.chdir(dest)  # distutils will read the setup.cfg from the cwd, so change to that
 
-    install_demo_cmd = [str(result.creator.script("pip")), "install", str(dest), "--no-use-pep517"]
+    install_demo_cmd = [
+        str(result.creator.script("pip")),
+        "--disable-pip-version-check",
+        "install",
+        str(dest),
+        "--no-use-pep517",
+        "-vv",
+    ]
     subprocess.check_call(install_demo_cmd)
 
     magic = result.creator.script("magic")  # console scripts are created in the right location
     assert magic.exists()
 
-    package_folder = result.creator.platlib / "demo"  # prefix is set to the virtualenv prefix for install
-    assert package_folder.exists()
+    package_folder = result.creator.purelib / "demo"  # prefix is set to the virtualenv prefix for install
+    assert package_folder.exists(), list_files(str(tmp_path))
+
+
+def list_files(path):
+    result = ""
+    for root, _, files in os.walk(path):
+        level = root.replace(path, "").count(os.sep)
+        indent = " " * 4 * level
+        result += "{}{}/\n".format(indent, os.path.basename(root))
+        sub = " " * 4 * (level + 1)
+        for f in files:
+            result += "{}{}\n".format(sub, f)
+    return result
 
 
 @pytest.mark.parametrize("python_path_on", [True, False], ids=["on", "off"])
diff --git a/tests/unit/create/test_interpreters.py b/tests/unit/create/test_interpreters.py
index 002326b..cee3cfa 100644
--- a/tests/unit/create/test_interpreters.py
+++ b/tests/unit/create/test_interpreters.py
@@ -18,7 +18,12 @@ def test_failed_to_find_bad_spec():
     assert repr(context.value) == msg
 
 
-@pytest.mark.parametrize("of_id", [sys.executable, PythonInfo.current_system().implementation])
+SYSTEM = PythonInfo.current_system()
+
+
+@pytest.mark.parametrize(
+    "of_id", ({sys.executable} if sys.executable != SYSTEM.executable else set()) | {SYSTEM.implementation}
+)
 def test_failed_to_find_implementation(of_id, mocker):
     mocker.patch("virtualenv.run.plugin.creators.CreatorSelector._OPTIONS", return_value={})
     with pytest.raises(RuntimeError) as context:
diff --git a/tests/unit/discovery/py_info/test_py_info.py b/tests/unit/discovery/py_info/test_py_info.py
index e673fcd..04001cb 100644
--- a/tests/unit/discovery/py_info/test_py_info.py
+++ b/tests/unit/discovery/py_info/test_py_info.py
@@ -133,11 +133,13 @@ def test_py_info_cached_symlink_error(mocker, tmp_path, session_app_data):
 
 def test_py_info_cache_clear(mocker, tmp_path, session_app_data):
     spy = mocker.spy(cached_py_info, "_run_subprocess")
-    assert PythonInfo.from_exe(sys.executable, session_app_data) is not None
-    assert spy.call_count >= 2  # at least two, one for the venv, one more for the host
+    result = PythonInfo.from_exe(sys.executable, session_app_data)
+    assert result is not None
+    count = 1 if result.executable == sys.executable else 2  # at least two, one for the venv, one more for the host
+    assert spy.call_count >= count
     PythonInfo.clear_cache(session_app_data)
     assert PythonInfo.from_exe(sys.executable, session_app_data) is not None
-    assert spy.call_count >= 4
+    assert spy.call_count >= 2 * count
 
 
 @pytest.mark.skipif(not fs_supports_symlink(), reason="symlink is not supported")
@@ -146,7 +148,9 @@ def test_py_info_cached_symlink(mocker, tmp_path, session_app_data):
     first_result = PythonInfo.from_exe(sys.executable, session_app_data)
     assert first_result is not None
     count = spy.call_count
-    assert count >= 2  # at least two, one for the venv, one more for the host
+    # at least two, one for the venv, one more for the host
+    exp_count = 1 if first_result.executable == sys.executable else 2
+    assert count >= exp_count  # at least two, one for the venv, one more for the host
 
     new_exe = tmp_path / "a"
     new_exe.symlink_to(sys.executable)
diff --git a/tests/unit/discovery/test_discovery.py b/tests/unit/discovery/test_discovery.py
index 275623a..2533875 100644
--- a/tests/unit/discovery/test_discovery.py
+++ b/tests/unit/discovery/test_discovery.py
@@ -16,7 +16,7 @@ from virtualenv.util.six import ensure_text
 
 @pytest.mark.skipif(not fs_supports_symlink(), reason="symlink not supported")
 @pytest.mark.parametrize("case", ["mixed", "lower", "upper"])
-def test_discovery_via_path(monkeypatch, case, special_name_dir, caplog, session_app_data):
+def test_discovery_via_path(monkeypatch, case, tmp_path, caplog, session_app_data):
     caplog.set_level(logging.DEBUG)
     current = PythonInfo.current_system(session_app_data)
     core = "somethingVeryCryptic{}".format(".".join(str(i) for i in current.version_info[0:3]))
@@ -26,7 +26,7 @@ def test_discovery_via_path(monkeypatch, case, special_name_dir, caplog, session
     elif case == "upper":
         name = name.upper()
     exe_name = "{}{}{}".format(name, current.version_info.major, ".exe" if sys.platform == "win32" else "")
-    target = special_name_dir / current.distutils_install["scripts"]
+    target = tmp_path / current.distutils_install["scripts"]
     target.mkdir(parents=True)
     executable = target / exe_name
     os.symlink(sys.executable, ensure_text(str(executable)))