diff --git a/graphene_django/converter.py b/graphene_django/converter.py
index 0492ce2..a986d7a 100644
--- a/graphene_django/converter.py
+++ b/graphene_django/converter.py
@@ -70,7 +70,11 @@ def convert_choices_to_named_enum_with_descriptions(name, choices):
 
 
 def generate_enum_name(django_model_meta, field):
-    if graphene_settings.DJANGO_CHOICE_FIELD_ENUM_V3_NAMING is True:
+    if graphene_settings.DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME and callable(
+        graphene_settings.DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME
+    ):
+        name = graphene_settings.DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME(field)
+    elif graphene_settings.DJANGO_CHOICE_FIELD_ENUM_V3_NAMING is True:
         name = "DjangoModel{app_label}{object_name}{field_name}Choices".format(
             app_label=to_camel_case(django_model_meta.app_label.title()),
             object_name=django_model_meta.object_name,
diff --git a/graphene_django/settings.py b/graphene_django/settings.py
index 75b5fa3..666ad8a 100644
--- a/graphene_django/settings.py
+++ b/graphene_django/settings.py
@@ -38,6 +38,7 @@ DEFAULTS = {
     "CAMELCASE_ERRORS": False,
     # Set to True to enable v3 naming convention for choice field Enum's
     "DJANGO_CHOICE_FIELD_ENUM_V3_NAMING": False,
+    "DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME": None,
 }
 
 if settings.DEBUG:
diff --git a/graphene_django/tests/test_types.py b/graphene_django/tests/test_types.py
index 368ae83..a3261df 100644
--- a/graphene_django/tests/test_types.py
+++ b/graphene_django/tests/test_types.py
@@ -514,14 +514,14 @@ class TestDjangoObjectType:
           query: Query
         }
 
-        enum DjangoModelTestsPetModelKindChoices {
+        enum CustomEnumKind {
           CAT
           DOG
         }
 
         type PetModelKind {
           id: ID!
-          kind: DjangoModelTestsPetModelKindChoices!
+          kind: CustomEnumKind!
         }
 
         type Query {
@@ -531,15 +531,13 @@ class TestDjangoObjectType:
         )
         graphene_settings.DJANGO_CHOICE_FIELD_ENUM_V3_NAMING = False
 
-    def test_django_objecttype_choices_override_enum(self, PetModel):
-        def convert_choice(model, field_name, **kwargs):
-            return convert_choice_field_to_enum(
-                model._meta.get_field(field_name), **kwargs
-            )
+    def test_django_objecttype_choices_custom_enum_name(self, PetModel):
+        def custom_name(field):
+            return f"CustomEnum{field.name.title()}"
+
+        graphene_settings.DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME = custom_name
 
         class PetModelKind(DjangoObjectType):
-            kind = Field(convert_choice(PetModel, "kind", name="CustomEnumName"))
-
             class Meta:
                 model = PetModel
                 fields = ["id", "kind"]
@@ -570,3 +568,5 @@ class TestDjangoObjectType:
         }
         """
         )
+
+        graphene_settings.DJANGO_CHOICE_FIELD_ENUM_CUSTOM_NAME = None