diff --git a/src/pdm/cli/commands/fix/fixers.py b/src/pdm/cli/commands/fix/fixers.py
index 6d2e92407e..16f1bba07b 100644
--- a/src/pdm/cli/commands/fix/fixers.py
+++ b/src/pdm/cli/commands/fix/fixers.py
@@ -76,7 +76,7 @@ def get_message(self) -> str:
         dist = str(package_type == "library").lower()
         return (
             rf'[success]package-type = "{package_type}"[/] has been renamed to '
-            rf"[info]distribution = {dist}[/] under \[tool.pdm\] table"
+            rf"[info]distribution = {dist}[/] under \[tool.pdm] table"
         )
 
     def check(self) -> bool:
diff --git a/src/pdm/environments/base.py b/src/pdm/environments/base.py
index 021b3173fe..2bd1a1109c 100644
--- a/src/pdm/environments/base.py
+++ b/src/pdm/environments/base.py
@@ -1,6 +1,7 @@
 from __future__ import annotations
 
 import abc
+import functools
 import os
 import re
 import shutil
@@ -10,13 +11,13 @@
 from contextlib import contextmanager
 from functools import cached_property, partial
 from pathlib import Path
-from typing import TYPE_CHECKING, Generator
+from typing import TYPE_CHECKING, Generator, no_type_check
 
 from pdm.exceptions import BuildError, PdmUsageError
 from pdm.models.in_process import get_pep508_environment, get_python_abis, get_uname, sysconfig_get_platform
 from pdm.models.python import PythonInfo
 from pdm.models.working_set import WorkingSet
-from pdm.utils import get_trusted_hosts, is_pip_compatible_with_python
+from pdm.utils import deprecation_warning, get_trusted_hosts, is_pip_compatible_with_python
 
 if TYPE_CHECKING:
     import unearth
@@ -26,11 +27,31 @@
     from pdm.project import Project
 
 
+@no_type_check
+def get_paths_wrapper(get_paths):  # pragma: no cover
+    @functools.wraps(get_paths)
+    def wrapped(self: BaseEnvironment, dist_name: str | None = None) -> dict[str, str]:
+        result = get_paths(self)
+        if dist_name and "headers" in result:
+            result["headers"] = os.path.join(result["headers"], dist_name)
+        return result
+
+    return wrapped
+
+
 class BaseEnvironment(abc.ABC):
     """Environment dependent stuff related to the selected Python interpreter."""
 
     is_local = False
 
+    def __init_subclass__(cls) -> None:
+        import inspect
+
+        get_paths_params = inspect.signature(cls.get_paths).parameters
+        if "dist_name" not in get_paths_params:  # pragma: no cover
+            deprecation_warning("get_paths() should accept a `dist_name` argument", stacklevel=3)
+            cls.get_paths = get_paths_wrapper(cls.get_paths)  # type: ignore[method-assign]
+
     def __init__(self, project: Project, *, python: str | None = None) -> None:
         """
         :param project: the project instance
@@ -55,8 +76,11 @@ def interpreter(self) -> PythonInfo:
         return self._interpreter
 
     @abc.abstractmethod
-    def get_paths(self) -> dict[str, str]:
-        """Get paths like ``sysconfig.get_paths()`` for installation."""
+    def get_paths(self, dist_name: str | None = None) -> dict[str, str]:
+        """Get paths like ``sysconfig.get_paths()`` for installation.
+
+        :param dist_name: The package name to be installed, if any.
+        """
         ...
 
     @property
@@ -252,7 +276,7 @@ class BareEnvironment(BaseEnvironment):
     def __init__(self, project: Project) -> None:
         super().__init__(project, python=sys.executable)
 
-    def get_paths(self) -> dict[str, str]:
+    def get_paths(self, dist_name: str | None = None) -> dict[str, str]:
         return {}
 
     def get_working_set(self) -> WorkingSet:
diff --git a/src/pdm/environments/local.py b/src/pdm/environments/local.py
index ff93d2670b..f7f17eb90b 100644
--- a/src/pdm/environments/local.py
+++ b/src/pdm/environments/local.py
@@ -106,8 +106,10 @@ def packages_path(self) -> Path:
             pypackages.joinpath(subdir).mkdir(exist_ok=True, parents=True)
         return pypackages
 
-    def get_paths(self) -> dict[str, str]:
-        return pdm_scheme(self.packages_path.as_posix())
+    def get_paths(self, dist_name: str | None = None) -> dict[str, str]:
+        scheme = pdm_scheme(self.packages_path.as_posix())
+        scheme["headers"] = os.path.join(scheme["headers"], dist_name or "UNKNOWN")
+        return scheme
 
     def update_shebangs(self, new_path: str) -> None:
         """Update the shebang lines"""
diff --git a/src/pdm/environments/python.py b/src/pdm/environments/python.py
index 32d02c5d58..2c3bdc9494 100644
--- a/src/pdm/environments/python.py
+++ b/src/pdm/environments/python.py
@@ -18,7 +18,7 @@ def __init__(self, project: Project, *, python: str | None = None, prefix: str |
         super().__init__(project, python=python)
         self.prefix = prefix
 
-    def get_paths(self) -> dict[str, str]:
+    def get_paths(self, dist_name: str | None = None) -> dict[str, str]:
         is_venv = self.interpreter.get_venv() is not None
         if self.prefix is not None:
             replace_vars = {"base": self.prefix, "platbase": self.prefix}
@@ -27,9 +27,13 @@ def get_paths(self) -> dict[str, str]:
             replace_vars = None
             kind = "user" if not is_venv and self.project.global_config["global_project.user_site"] else "default"
         paths = get_sys_config_paths(str(self.interpreter.executable), replace_vars, kind=kind)
+        if not dist_name and not is_venv:
+            dist_name = "UNKNOWN"
         if is_venv and self.prefix is None:
             python_xy = f"python{self.interpreter.identifier}"
             paths["include"] = os.path.join(paths["data"], "include", "site", python_xy)
+        if dist_name:
+            paths["include"] = os.path.join(paths["include"], dist_name)
         paths["prefix"] = paths["data"]
         paths["headers"] = paths["include"]
         return paths
diff --git a/src/pdm/installers/installers.py b/src/pdm/installers/installers.py
index 122e23f35e..e700cdc6f7 100644
--- a/src/pdm/installers/installers.py
+++ b/src/pdm/installers/installers.py
@@ -48,6 +48,12 @@ def _is_python_package(root: str | Path) -> bool:
     return False
 
 
+def _get_dist_name(wheel_path: str) -> str:
+    from packaging.utils import parse_wheel_filename
+
+    return parse_wheel_filename(os.path.basename(wheel_path))[0]
+
+
 _namespace_package_lines = frozenset(
     [
         # pkg_resources style
@@ -192,7 +198,7 @@ def install_wheel(wheel: str, environment: BaseEnvironment, direct_url: dict[str
     if direct_url is not None:
         additional_metadata = {"direct_url.json": json.dumps(direct_url, indent=2).encode()}
     destination = InstallDestination(
-        scheme_dict=environment.get_paths(),
+        scheme_dict=environment.get_paths(_get_dist_name(wheel)),
         interpreter=str(environment.interpreter.executable),
         script_kind=_get_kind(environment),
     )
@@ -263,7 +269,7 @@ def skip_files(source: WheelFile, element: WheelContentElement) -> bool:
         additional_contents.append(((filename, "", str(len(stream.getvalue()))), stream, False))
 
     destination = InstallDestination(
-        scheme_dict=environment.get_paths(),
+        scheme_dict=environment.get_paths(_get_dist_name(wheel)),
         interpreter=interpreter,
         script_kind=script_kind,
         link_to=lib_path,