diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index 4b69e39a1..1e92c1ba2 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -1,3 +1,4 @@
+import dataclasses
 import inspect
 from contextlib import AsyncExitStack, contextmanager
 from copy import copy, deepcopy
@@ -428,7 +429,7 @@ def analyze_param(
     if depends is not None and depends.dependency is None:
         # Copy `depends` before mutating it
         depends = copy(depends)
-        depends.dependency = type_annotation
+        depends = dataclasses.replace(depends, dependency=type_annotation)
 
     # Handle non-param type annotations like Request
     if lenient_issubclass(
diff --git a/fastapi/params.py b/fastapi/params.py
index 6a58d5808..6d07df35e 100644
--- a/fastapi/params.py
+++ b/fastapi/params.py
@@ -762,13 +762,13 @@ class File(Form):  # type: ignore[misc]
         )
 
 
-@dataclass
+@dataclass(frozen=True)
 class Depends:
     dependency: Optional[Callable[..., Any]] = None
     use_cache: bool = True
     scope: Union[Literal["function", "request"], None] = None
 
 
-@dataclass
+@dataclass(frozen=True)
 class Security(Depends):
     scopes: Optional[Sequence[str]] = None