diff --git a/src/marshmallow/fields.py b/src/marshmallow/fields.py
index 3e9a0f3bd..4480fb35e 100644
--- a/src/marshmallow/fields.py
+++ b/src/marshmallow/fields.py
@@ -30,6 +30,10 @@
 from marshmallow.validate import And, Length
 from marshmallow.warnings import RemovedInMarshmallow4Warning
 
+if typing.TYPE_CHECKING:
+    from marshmallow.schema import SchemaMeta
+
+
 __all__ = [
     "Field",
     "Raw",
@@ -535,10 +539,10 @@ class ParentSchema(Schema):
     def __init__(
         self,
         nested: SchemaABC
-        | type
+        | SchemaMeta
         | str
-        | dict[str, Field | type]
-        | typing.Callable[[], SchemaABC | type | dict[str, Field | type]],
+        | dict[str, Field | type[Field]]
+        | typing.Callable[[], SchemaABC | SchemaMeta | dict[str, Field | type[Field]]],
         *,
         dump_default: typing.Any = missing_,
         default: typing.Any = missing_,
@@ -698,7 +702,7 @@ class AlbumSchema(Schema):
 
     def __init__(
         self,
-        nested: SchemaABC | type | str | typing.Callable[[], SchemaABC],
+        nested: SchemaABC | SchemaMeta | str | typing.Callable[[], SchemaABC],
         field_name: str,
         **kwargs,
     ):
@@ -749,7 +753,7 @@ class List(Field):
     #: Default error messages.
     default_error_messages = {"invalid": "Not a valid list."}
 
-    def __init__(self, cls_or_instance: Field | type, **kwargs):
+    def __init__(self, cls_or_instance: Field | type[Field], **kwargs):
         super().__init__(**kwargs)
         try:
             self.inner = resolve_field_instance(cls_or_instance)
@@ -1553,8 +1557,8 @@ class Mapping(Field):
 
     def __init__(
         self,
-        keys: Field | type | None = None,
-        values: Field | type | None = None,
+        keys: Field | type[Field] | None = None,
+        values: Field | type[Field] | None = None,
         **kwargs,
     ):
         super().__init__(**kwargs)
@@ -1876,7 +1880,7 @@ def __init__(
         self,
         enum: type[EnumType],
         *,
-        by_value: bool | Field | type = False,
+        by_value: bool | Field | type[Field] = False,
         **kwargs,
     ):
         super().__init__(**kwargs)
diff --git a/src/marshmallow/schema.py b/src/marshmallow/schema.py
index 6f15a0f3c..0439c0ee0 100644
--- a/src/marshmallow/schema.py
+++ b/src/marshmallow/schema.py
@@ -56,7 +56,7 @@ def _get_fields(attrs):
 
 # This function allows Schemas to inherit from non-Schema classes and ensures
 #   inheritance according to the MRO
-def _get_fields_by_mro(klass):
+def _get_fields_by_mro(klass: SchemaMeta):
     """Collect fields from a class, following its method resolution order. The
     class itself is excluded from the search; only its parents are checked. Get
     fields from ``_declared_fields`` if available, else use ``__dict__``.
@@ -124,7 +124,7 @@ def __new__(mcs, name, bases, attrs):
     @classmethod
     def get_declared_fields(
         mcs,
-        klass: type,
+        klass: SchemaMeta,
         cls_fields: list,
         inherited_fields: list,
         dict_cls: type = dict,
@@ -417,7 +417,7 @@ def dict_class(self) -> type:
     @classmethod
     def from_dict(
         cls,
-        fields: dict[str, ma_fields.Field | type],
+        fields: dict[str, ma_fields.Field | type[ma_fields.Field]],
         *,
         name: str = "GeneratedSchema",
     ) -> type: