diff --git a/stubs/peewee/peewee.pyi b/stubs/peewee/peewee.pyi
index f9066c393709..07ef1a52eb6d 100644
--- a/stubs/peewee/peewee.pyi
+++ b/stubs/peewee/peewee.pyi
@@ -526,7 +526,7 @@ class BaseQuery(Node):
     def objects(self, constructor: Incomplete | None = ...) -> Self: ...
     def __sql__(self, ctx) -> None: ...
     def sql(self): ...
-    def execute(self, database): ...
+    def execute(self, database: Incomplete | None = ...): ...
     def iterator(self, database: Incomplete | None = ...): ...
     def __iter__(self): ...
     def __getitem__(self, value): ...
@@ -571,20 +571,20 @@ class SelectQuery(Query):
     def select_from(self, *columns): ...
 
 class SelectBase(_HashableSource, Source, SelectQuery):  # type: ignore[misc]
-    def peek(self, database, n: int = ...): ...
-    def first(self, database, n: int = ...): ...
-    def scalar(self, database, as_tuple: bool = ..., as_dict: bool = ...): ...
-    def scalars(self, database) -> Generator[Incomplete, None, None]: ...
-    def count(self, database, clear_limit: bool = ...): ...
-    def exists(self, database): ...
-    def get(self, database): ...
+    def peek(self, database: Incomplete | None = ..., n: int = ...): ...
+    def first(self, database: Incomplete | None = ..., n: int = ...): ...
+    def scalar(self, database: Incomplete | None = ..., as_tuple: bool = ..., as_dict: bool = ...): ...
+    def scalars(self, database: Incomplete | None = ...) -> Generator[Incomplete, None, None]: ...
+    def count(self, database: Incomplete | None = ..., clear_limit: bool = ...): ...
+    def exists(self, database: Incomplete | None = ...): ...
+    def get(self, database: Incomplete | None = ...): ...
 
 class CompoundSelectQuery(SelectBase):
     lhs: Incomplete
     op: Incomplete
     rhs: Incomplete
     def __init__(self, lhs, op, rhs) -> None: ...
-    def exists(self, database): ...
+    def exists(self, database: Incomplete | None = ...): ...
     def __sql__(self, ctx): ...
 
 class Select(SelectBase):