diff --git a/news/3382.bugfix.md b/news/3382.bugfix.md
new file mode 100644
index 0000000000..f3e8f0eee7
--- /dev/null
+++ b/news/3382.bugfix.md
@@ -0,0 +1 @@
+Add a dummy project name to the script environment pyproject.toml.
diff --git a/src/pdm/cli/commands/run.py b/src/pdm/cli/commands/run.py
index 2765f0c975..0eb2ad9a65 100644
--- a/src/pdm/cli/commands/run.py
+++ b/src/pdm/cli/commands/run.py
@@ -163,7 +163,7 @@ def _get_script_env(self, script_file: str) -> BaseEnvironment:
             return self.project.environment
         tool_config = metadata.pop("tool", {})
         script_project = self.project.core.create_project()
-        script_project.pyproject.set_data({"project": metadata, "tool": tool_config})
+        script_project.pyproject.set_data({"project": {"name": "temp-project", **metadata}, "tool": tool_config})
         md5_kwargs = {"usedforsecurity": False}
         venv_name = hashlib.md5(os.path.realpath(script_file).encode("utf-8"), **md5_kwargs).hexdigest()
         venv_backend = BACKENDS[script_project.config["venv.backend"]](script_project, None)
diff --git a/tests/test_integration.py b/tests/test_integration.py
index 066a254d35..d3772ba5a4 100644
--- a/tests/test_integration.py
+++ b/tests/test_integration.py
@@ -30,6 +30,7 @@ def get_python_versions():
 def test_basic_integration(python_version, core, tmp_path, pdm):
     """An e2e test case to ensure PDM works on all supported Python versions"""
     project = core.create_project(tmp_path)
+    project.project_config["python.use_venv"] = True
     project.pyproject.set_data(PYPROJECT)
     project.root.joinpath("foo.py").write_text("import django\n")
     project._environment = None
@@ -58,11 +59,13 @@ def test_use_python_write_file(pdm, project):
 @pytest.mark.parametrize("python_version", PYTHON_VERSIONS)
 @pytest.mark.parametrize("via_env", [True, False])
 def test_init_project_respect_version_file(pdm, project, python_version, via_env, monkeypatch):
+    project.project_config["python.use_venv"] = True
     if via_env:
         monkeypatch.setenv("PDM_PYTHON_VERSION", python_version)
     else:
         project.root.joinpath(".python-version").write_text(python_version)
     project._saved_python = None
+    project._environment = None
     pdm(["install"], obj=project, strict=True)
     assert f"{project.python.major}.{project.python.minor}" == python_version