diff --git a/tests/unit/discovery/test_discovery.py b/tests/unit/discovery/test_discovery.py
index dd32ba27a..b17ed4ea6 100644
--- a/tests/unit/discovery/test_discovery.py
+++ b/tests/unit/discovery/test_discovery.py
@@ -5,7 +5,6 @@
 import sys
 from argparse import Namespace
 from pathlib import Path
-from typing import TYPE_CHECKING
 from uuid import uuid4
 
 import pytest
@@ -14,22 +13,28 @@
 from virtualenv.discovery.py_info import PythonInfo
 from virtualenv.info import fs_supports_symlink
 
-if TYPE_CHECKING:
-    from virtualenv.app_data.base import AppData
-
 
 @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, tmp_path, caplog, session_app_data):
+@pytest.mark.parametrize("specificity", ["more", "less"])
+def test_discovery_via_path(monkeypatch, case, specificity, tmp_path, caplog, session_app_data):  # noqa: PLR0913
     caplog.set_level(logging.DEBUG)
     current = PythonInfo.current_system(session_app_data)
-    core = f"somethingVeryCryptic{'.'.join(str(i) for i in current.version_info[0:3])}"
     name = "somethingVeryCryptic"
     if case == "lower":
         name = name.lower()
     elif case == "upper":
         name = name.upper()
-    exe_name = f"{name}{current.version_info.major}{'.exe' if sys.platform == 'win32' else ''}"
+    if specificity == "more":
+        # e.g. spec: python3, exe: /bin/python3.12
+        core_ver = current.version_info.major
+        exe_ver = ".".join(str(i) for i in current.version_info[0:2])
+    elif specificity == "less":
+        # e.g. spec: python3.12.1, exe: /bin/python3
+        core_ver = ".".join(str(i) for i in current.version_info[0:3])
+        exe_ver = current.version_info.major
+    core = f"{name}{core_ver}"
+    exe_name = f"{name}{exe_ver}{'.exe' if sys.platform == 'win32' else ''}"
     target = tmp_path / current.install_path("scripts")
     target.mkdir(parents=True)
     executable = target / exe_name
@@ -44,29 +49,6 @@ def test_discovery_via_path(monkeypatch, case, tmp_path, caplog, session_app_dat
     assert interpreter is not None
 
 
-@pytest.mark.skipif(not fs_supports_symlink(), reason="symlink not supported")
-def test_discovery_via_path_specific(
-    monkeypatch: pytest.MonkeyPatch, tmp_path: Path, caplog: pytest.LogCaptureFixture, session_app_data: AppData
-):
-    """Test that a generic spec (e.g. python3) can be used to find a specific interpreter (e.g. python3.12)"""
-    caplog.set_level(logging.DEBUG)
-    current = PythonInfo.current_system(session_app_data)
-    name = "somethingVeryCryptic"
-    spec = f"{name}{current.version_info.major}"
-    exe_name = f"{name}{'.'.join(str(i) for i in current.version_info[:2])}{'.exe' if sys.platform == 'win32' else ''}"
-    target = tmp_path / current.install_path("scripts")
-    target.mkdir(parents=True)
-    executable = target / exe_name
-    os.symlink(sys.executable, str(executable))
-    pyvenv_cfg = Path(sys.executable).parents[1] / "pyvenv.cfg"
-    if pyvenv_cfg.exists():
-        (target / pyvenv_cfg.name).write_bytes(pyvenv_cfg.read_bytes())
-    monkeypatch.setenv("PATH", str(target))
-    interpreter = get_interpreter(spec, [])
-
-    assert interpreter is not None
-
-
 def test_discovery_via_path_not_found(tmp_path, monkeypatch):
     monkeypatch.setenv("PATH", str(tmp_path))
     interpreter = get_interpreter(uuid4().hex, [])