diff --git a/rich/traceback.py b/rich/traceback.py
index c32baaca1..032d3fb4d 100644
--- a/rich/traceback.py
+++ b/rich/traceback.py
@@ -89,8 +89,8 @@ def install(
     theme: Optional[str] = None,
     word_wrap: bool = False,
     show_locals: bool = False,
-    locals_max_length: int = LOCALS_MAX_LENGTH,
-    locals_max_string: int = LOCALS_MAX_STRING,
+    locals_max_length: Optional[int] = LOCALS_MAX_LENGTH,
+    locals_max_string: Optional[int] = LOCALS_MAX_STRING,
     locals_hide_dunder: bool = True,
     locals_hide_sunder: Optional[bool] = None,
     indent_guides: bool = True,
@@ -293,8 +293,8 @@ def __init__(
         theme: Optional[str] = None,
         word_wrap: bool = False,
         show_locals: bool = False,
-        locals_max_length: int = LOCALS_MAX_LENGTH,
-        locals_max_string: int = LOCALS_MAX_STRING,
+        locals_max_length: Optional[int] = LOCALS_MAX_LENGTH,
+        locals_max_string: Optional[int] = LOCALS_MAX_STRING,
         locals_hide_dunder: bool = True,
         locals_hide_sunder: bool = False,
         indent_guides: bool = True,
@@ -349,8 +349,8 @@ def from_exception(
         theme: Optional[str] = None,
         word_wrap: bool = False,
         show_locals: bool = False,
-        locals_max_length: int = LOCALS_MAX_LENGTH,
-        locals_max_string: int = LOCALS_MAX_STRING,
+        locals_max_length: Optional[int] = LOCALS_MAX_LENGTH,
+        locals_max_string: Optional[int] = LOCALS_MAX_STRING,
         locals_hide_dunder: bool = True,
         locals_hide_sunder: bool = False,
         indent_guides: bool = True,
@@ -417,8 +417,8 @@ def extract(
         traceback: Optional[TracebackType],
         *,
         show_locals: bool = False,
-        locals_max_length: int = LOCALS_MAX_LENGTH,
-        locals_max_string: int = LOCALS_MAX_STRING,
+        locals_max_length: Optional[int] = LOCALS_MAX_LENGTH,
+        locals_max_string: Optional[int] = LOCALS_MAX_STRING,
         locals_hide_dunder: bool = True,
         locals_hide_sunder: bool = False,
         _visited_exceptions: Optional[Set[BaseException]] = None,