diff --git a/conan/tools/cmake/cmakedeps/templates/target_data.py b/conan/tools/cmake/cmakedeps/templates/target_data.py
index bd452109e48..1cf47964e0e 100644
--- a/conan/tools/cmake/cmakedeps/templates/target_data.py
+++ b/conan/tools/cmake/cmakedeps/templates/target_data.py
@@ -6,7 +6,7 @@
 from conan.tools.cmake.cmakedeps.templates import CMakeDepsFileTemplate
 from conans.errors import ConanException
 from conans.model.dependencies import get_transitive_requires
-
+from conans.model.pkg_type import PackageType
 
 """
 
@@ -63,11 +63,6 @@ def context(self):
                 "dependency_filenames": " ".join(dependency_filenames),
                 "dependency_find_modes": dependency_find_modes}
 
-    @property
-    def cmake_package_type(self):
-        return {"shared-library": "SHARED",
-                "static-library": "STATIC"}.get(str(self.conanfile.package_type), "UNKNOWN")
-
     @property
     def is_host_windows(self):
         # to account for all WindowsStore, WindowsCE and Windows OS in settings
@@ -176,7 +171,7 @@ def _get_global_cpp_cmake(self):
         global_cppinfo = self.conanfile.cpp_info.aggregated_components()
         pfolder_var_name = "{}_PACKAGE_FOLDER{}".format(self.pkg_name, self.config_suffix)
         return _TargetDataContext(global_cppinfo, pfolder_var_name, self._root_folder,
-                                  self.require, self.cmake_package_type, self.is_host_windows)
+                                  self.require, self.conanfile.package_type, self.is_host_windows)
 
     @property
     def _root_folder(self):
@@ -191,7 +186,7 @@ def _get_required_components_cpp(self):
         transitive_requires = get_transitive_requires(self.cmakedeps._conanfile, self.conanfile)
         for comp_name, comp in sorted_comps.items():
             deps_cpp_cmake = _TargetDataContext(comp, pfolder_var_name, self._root_folder,
-                                                self.require, self.cmake_package_type,
+                                                self.require, self.conanfile.package_type,
                                                 self.is_host_windows)
 
             public_comp_deps = []
@@ -252,7 +247,7 @@ def _get_dependencies_find_modes(self):
 
 class _TargetDataContext(object):
 
-    def __init__(self, cpp_info, pfolder_var_name, package_folder, require, library_type,
+    def __init__(self, cpp_info, pfolder_var_name, package_folder, require, package_type,
                  is_host_windows):
 
         def join_paths(paths):
@@ -299,7 +294,8 @@ def join_defines(values, prefix=""):
         self.frameworks = join_flags(" ", cpp_info.frameworks)
         self.defines = join_defines(cpp_info.defines, "-D")
         self.compile_definitions = join_defines(cpp_info.defines)
-        self.library_type = library_type
+        self.library_type = {"shared-library": "SHARED",
+                             "static-library": "STATIC"}.get(str(package_type), "UNKNOWN")
         self.is_host_windows = "1" if is_host_windows else "0"
 
         # For modern CMake targets we need to prepare a list to not
@@ -324,6 +320,8 @@ def join_defines(values, prefix=""):
         if require and not require.libs:
             # self.lib_paths = ""  IMPORTANT! LINKERS IN LINUX FOR SHARED MIGHT NEED IT EVEN IF
             #                      NOT REALLY LINKING LIB
+            if package_type == PackageType.HEADER:
+                self.lib_paths = ""
             self.libs = ""
             if cpp_info.frameworkdirs:  # Only invalidate for in-package frameworks
                 # FIXME: The mix of in-package frameworks + system ones is broken
diff --git a/conans/test/integration/toolchains/cmake/cmakedeps/test_cmakedeps.py b/conans/test/integration/toolchains/cmake/cmakedeps/test_cmakedeps.py
index 41f3f7d0865..e705e15b0d0 100644
--- a/conans/test/integration/toolchains/cmake/cmakedeps/test_cmakedeps.py
+++ b/conans/test/integration/toolchains/cmake/cmakedeps/test_cmakedeps.py
@@ -549,3 +549,19 @@ class App(ConanFile):
     app = c.load("app/header-release-data.cmake")
     assert "set(header_SYSTEM_LIBS_RELEASE dl)" in app
     assert "set(header_FRAMEWORKS_RELEASE CoreDriver)" in app
+
+
+def test_header_no_libpaths():
+    """
+    https://github.com/conan-io/conan/issues/13702
+    """
+    c = TestClient()
+    header = GenConanfile("header", "0.1").with_package_type("header-library")
+    app = GenConanfile().with_requires("header/0.1").with_settings("build_type")\
+                        .with_generator("CMakeDeps")
+    c.save({"header/conanfile.py": header,
+            "app/conanfile.py": app})
+    c.run("create header")
+    c.run("install app")
+    dep = c.load("app/header-release-data.cmake")
+    assert "set(header_LIB_DIRS_RELEASE )" in dep