diff --git a/pandas/core/dtypes/base.py b/pandas/core/dtypes/base.py
index 8104b0170fbe2..9671c340a0a92 100644
--- a/pandas/core/dtypes/base.py
+++ b/pandas/core/dtypes/base.py
@@ -7,6 +7,7 @@
 from typing import (
     TYPE_CHECKING,
     Any,
+    TypeVar,
 )
 
 import numpy as np
@@ -26,6 +27,9 @@
 if TYPE_CHECKING:
     from pandas.core.arrays import ExtensionArray
 
+    # To parameterize on same ExtensionDtype
+    E = TypeVar("E", bound="ExtensionDtype")
+
 
 class ExtensionDtype:
     """
@@ -151,7 +155,7 @@ def na_value(self) -> object:
         return np.nan
 
     @property
-    def type(self) -> type[Any]:
+    def type(self) -> type_t[Any]:
         """
         The scalar type for the array, e.g. ``int``
 
@@ -364,7 +368,7 @@ def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
             return None
 
 
-def register_extension_dtype(cls: type[ExtensionDtype]) -> type[ExtensionDtype]:
+def register_extension_dtype(cls: type[E]) -> type[E]:
     """
     Register an ExtensionType with pandas as class decorator.