diff --git a/litestar/_openapi/datastructures.py b/litestar/_openapi/datastructures.py
index 91761e7eff..2c85476d3c 100644
--- a/litestar/_openapi/datastructures.py
+++ b/litestar/_openapi/datastructures.py
@@ -136,8 +136,7 @@ def get_reference_for_field_definition(self, field: FieldDefinition) -> Referenc
         key = _get_normalized_schema_key(field)
         if key not in self._schema_key_map:
             return None
-
-        if (existing_type := self._component_type_map[key]) != field:
+        if (existing_type := self._component_type_map[key]) != field and f"{field.raw!r}" != f"{existing_type.raw!r}":
             # TODO: This should check for strict equality, e.g. changes in type metadata
             # However, this is currently not possible to do without breaking things, as
             # we allow to define metadata on a type annotation in one place to be used
diff --git a/litestar/dto/_backend.py b/litestar/dto/_backend.py
index ba121e0f5c..01a05a5065 100644
--- a/litestar/dto/_backend.py
+++ b/litestar/dto/_backend.py
@@ -207,7 +207,7 @@ def create_transfer_model_type(
         Returns:
             A ``BackendT`` class.
         """
-        struct_name = self._create_transfer_model_name(model_name)
+        struct_name = self.dto_factory.__schema_name__ or self._create_transfer_model_name(model_name)
 
         struct = _create_struct_for_field_definitions(
             model_name=struct_name,
diff --git a/litestar/dto/base_dto.py b/litestar/dto/base_dto.py
index 93498f3c99..aae6c99d1b 100644
--- a/litestar/dto/base_dto.py
+++ b/litestar/dto/base_dto.py
@@ -52,6 +52,7 @@ class AbstractDTO(Generic[T]):
     """If ``annotation`` is an iterable, this is the inner type, otherwise will be the same as ``annotation``."""
 
     _dto_backends: ClassVar[dict[str, _BackendDict]] = {}
+    __schema_name__: ClassVar[None | str] = None
 
     def __init__(self, asgi_connection: ASGIConnection) -> None:
         """Create an AbstractDTOFactory type.