diff --git a/sphinx/jinja2glue.py b/sphinx/jinja2glue.py
index 0df58b52d4f..5436900db12 100644
--- a/sphinx/jinja2glue.py
+++ b/sphinx/jinja2glue.py
@@ -118,7 +118,7 @@ class SphinxFileSystemLoader(FileSystemLoader):
 
     def get_source(
         self, environment: Environment, template: str
-    ) -> tuple[str, str, Callable]:
+    ) -> tuple[str, str, Callable[[], bool]]:
         for searchpath in self.searchpath:
             filename = path.join(searchpath, template)
             f = open_if_exists(filename)
@@ -224,7 +224,7 @@ def _newest_template_mtime_name(self) -> tuple[float, str]:
 
     def get_source(
         self, environment: Environment, template: str
-    ) -> tuple[str, str, Callable]:
+    ) -> tuple[str, str, Callable[[], bool]]:
         loaders = self.loaders
         # exclamation mark starts search from theme
         if template.startswith('!'):
diff --git a/sphinx/util/template.py b/sphinx/util/template.py
index 2b38e3a8678..1cfc287a821 100644
--- a/sphinx/util/template.py
+++ b/sphinx/util/template.py
@@ -124,7 +124,11 @@ def __init__(self, confdir: str | os.PathLike[str],
             self.loaders.append(loader)
             self.sysloaders.append(loader)
 
-    def get_source(self, environment: Environment, template: str) -> tuple[str, str, Callable]:
+    def get_source(
+        self,
+        environment: Environment,
+        template: str,
+    ) -> tuple[str, str, Callable[[], bool]]:
         if template.startswith('!'):
             # search a template from ``system_templates_paths``
             loaders = self.sysloaders