diff --git a/fastapi/applications.py b/fastapi/applications.py
index 05c7bd2be..e35dd8548 100644
--- a/fastapi/applications.py
+++ b/fastapi/applications.py
@@ -810,6 +810,8 @@ class FastAPI(Starlette):
                 """
             ),
         ] = True,
+        openapi_schema_exclude_unset: bool = False,
+        openapi_schema_exclude_none: bool = True,
         **extra: Annotated[
             Any,
             Doc(
@@ -871,6 +873,8 @@ class FastAPI(Starlette):
             ),
         ] = "3.1.0"
         self.openapi_schema: Optional[Dict[str, Any]] = None
+        self.openapi_schema_exclude_unset = openapi_schema_exclude_unset
+        self.openapi_schema_exclude_none = openapi_schema_exclude_none
         if self.openapi_url:
             assert self.title, "A title must be provided for OpenAPI, e.g.: 'My API'"
             assert self.version, "A version must be provided for OpenAPI, e.g.: '2.1.0'"
@@ -992,6 +996,8 @@ class FastAPI(Starlette):
                 tags=self.openapi_tags,
                 servers=self.servers,
                 separate_input_output_schemas=self.separate_input_output_schemas,
+                exclude_unset=self.openapi_schema_exclude_unset,
+                exclude_none=self.openapi_schema_exclude_none,
             )
         return self.openapi_schema
 
diff --git a/fastapi/openapi/utils.py b/fastapi/openapi/utils.py
index 808646cc2..1e35d3814 100644
--- a/fastapi/openapi/utils.py
+++ b/fastapi/openapi/utils.py
@@ -489,6 +489,8 @@ def get_openapi(
     contact: Optional[Dict[str, Union[str, Any]]] = None,
     license_info: Optional[Dict[str, Union[str, Any]]] = None,
     separate_input_output_schemas: bool = True,
+    exclude_unset: bool = False,
+    exclude_none: bool = True,
 ) -> Dict[str, Any]:
     info: Dict[str, Any] = {"title": title, "version": version}
     if summary:
@@ -566,4 +568,9 @@ def get_openapi(
         output["webhooks"] = webhook_paths
     if tags:
         output["tags"] = tags
-    return jsonable_encoder(OpenAPI(**output), by_alias=True, exclude_none=True)  # type: ignore
+    return jsonable_encoder(  # type: ignore
+        OpenAPI(**output),
+        by_alias=True,
+        exclude_unset=exclude_unset,
+        exclude_none=exclude_none,
+    )
diff --git a/tests/test_get_openapi_schema.py b/tests/test_get_openapi_schema.py
new file mode 100644
index 000000000..05fa8d2a0
--- /dev/null
+++ b/tests/test_get_openapi_schema.py
@@ -0,0 +1,57 @@
+from fastapi import FastAPI
+from fastapi.testclient import TestClient
+
+app = FastAPI(
+    openapi_schema_exclude_unset=True,
+    openapi_schema_exclude_none=False,
+)
+
+
+@app.get(
+    "/items",
+    responses={
+        200: {"content": {"application/json": {"example": {"id": None, "value": 50}}}}
+    },
+)
+def get_items():
+    return {"id": "foo", "value": 50}
+
+
+client = TestClient(app)
+
+
+openapi_schema = {
+    "openapi": "3.1.0",
+    "info": {"title": "FastAPI", "version": "0.1.0"},
+    "paths": {
+        "/items": {
+            "get": {
+                "responses": {
+                    "200": {
+                        "description": "Successful Response",
+                        "content": {
+                            "application/json": {
+                                "schema": {},
+                                "example": {"id": None, "value": 50},
+                            }
+                        },
+                    }
+                },
+                "summary": "Get Items",
+                "operationId": "get_items_items_get",
+            }
+        }
+    },
+}
+
+
+def test_openapi_schema():
+    response = client.get("/openapi.json")
+    assert response.status_code == 200, response.text
+    assert response.json() == openapi_schema
+
+
+def test_default_get_items():
+    response = client.get("/items")
+    assert response.status_code == 200, response.text
+    assert response.json() == {"id": "foo", "value": 50}