diff --git a/django/core/handlers/wsgi.py b/django/core/handlers/wsgi.py
index c071b5ca8c3..27711d39099 100644
--- a/django/core/handlers/wsgi.py
+++ b/django/core/handlers/wsgi.py
@@ -54,9 +54,6 @@ class LimitedStream(IOBase):
 
 
 class WSGIRequest(HttpRequest):
-    non_picklable_attrs = HttpRequest.non_picklable_attrs | frozenset(["environ"])
-    meta_non_picklable_attrs = frozenset(["wsgi.errors", "wsgi.input"])
-
     def __init__(self, environ):
         script_name = get_script_name(environ)
         # If PATH_INFO is empty (e.g. accessing the SCRIPT_NAME URL without a
@@ -82,13 +79,6 @@ class WSGIRequest(HttpRequest):
         self._read_started = False
         self.resolver_match = None
 
-    def __getstate__(self):
-        state = super().__getstate__()
-        for attr in self.meta_non_picklable_attrs:
-            if attr in state["META"]:
-                del state["META"][attr]
-        return state
-
     def _get_scheme(self):
         return self.environ.get("wsgi.url_scheme")
 
diff --git a/django/http/request.py b/django/http/request.py
index 1cfa0268704..4d1d077ec19 100644
--- a/django/http/request.py
+++ b/django/http/request.py
@@ -55,8 +55,6 @@ class HttpRequest:
     _encoding = None
     _upload_handlers = []
 
-    non_picklable_attrs = frozenset(["resolver_match", "_stream"])
-
     def __init__(self):
         # WARNING: The `WSGIRequest` subclass doesn't call `super`.
         # Any variable assignment made here should also happen in
@@ -84,21 +82,6 @@ class HttpRequest:
             self.get_full_path(),
         )
 
-    def __getstate__(self):
-        obj_dict = self.__dict__.copy()
-        for attr in self.non_picklable_attrs:
-            if attr in obj_dict:
-                del obj_dict[attr]
-        return obj_dict
-
-    def __deepcopy__(self, memo):
-        obj = copy.copy(self)
-        for attr in self.non_picklable_attrs:
-            if hasattr(self, attr):
-                setattr(obj, attr, copy.deepcopy(getattr(self, attr), memo))
-        memo[id(self)] = obj
-        return obj
-
     @cached_property
     def headers(self):
         return HttpHeaders(self.META)
diff --git a/django/http/response.py b/django/http/response.py
index 465a8553dc6..090be181e21 100644
--- a/django/http/response.py
+++ b/django/http/response.py
@@ -373,10 +373,12 @@ class HttpResponse(HttpResponseBase):
         [
             "resolver_match",
             # Non-picklable attributes added by test clients.
+            "asgi_request",
             "client",
             "context",
             "json",
             "templates",
+            "wsgi_request",
         ]
     )
 
diff --git a/docs/releases/4.2.1.txt b/docs/releases/4.2.1.txt
index 525830a01bd..621fc3ec303 100644
--- a/docs/releases/4.2.1.txt
+++ b/docs/releases/4.2.1.txt
@@ -29,3 +29,7 @@ Bugfixes
 * Fixed a regression in Django 4.2 where ``i18n_patterns()`` didn't respect the
   ``prefix_default_language`` argument when a fallback language of the default
   language was used (:ticket:`34455`).
+
+* Fixed a regression in Django 4.2 where creating copies and deep copies of
+  ``HttpRequest`` and its subclasses didn't always work correctly
+  (:ticket:`34482`, :ticket:`34484`).
diff --git a/tests/requests_tests/tests.py b/tests/requests_tests/tests.py
index ef218afe2f0..d3e9e662246 100644
--- a/tests/requests_tests/tests.py
+++ b/tests/requests_tests/tests.py
@@ -1,4 +1,4 @@
-import pickle
+import copy
 from io import BytesIO
 from itertools import chain
 from urllib.parse import urlencode
@@ -233,6 +233,11 @@ class RequestsTests(SimpleTestCase):
         # left percent-encoded in the path.
         self.assertEqual(request.path, "/caf%E9/")
 
+    def test_wsgirequest_copy(self):
+        request = WSGIRequest({"REQUEST_METHOD": "get", "wsgi.input": BytesIO(b"")})
+        request_copy = copy.copy(request)
+        self.assertIs(request_copy.environ, request.environ)
+
     def test_limited_stream(self):
         # Read all of a limited stream
         stream = LimitedStream(BytesIO(b"test"), 2)
@@ -687,19 +692,17 @@ class RequestsTests(SimpleTestCase):
         with self.assertRaises(UnreadablePostError):
             request.FILES
 
-    def test_pickling_request(self):
+    def test_copy(self):
         request = HttpRequest()
-        request.method = "GET"
-        request.path = "/testpath/"
-        request.META = {
-            "QUERY_STRING": ";some=query&+query=string",
-            "SERVER_NAME": "example.com",
-            "SERVER_PORT": 80,
-        }
-        request.COOKIES = {"post-key": "post-value"}
-        dump = pickle.dumps(request)
-        request_from_pickle = pickle.loads(dump)
-        self.assertEqual(repr(request), repr(request_from_pickle))
+        request_copy = copy.copy(request)
+        self.assertIs(request_copy.resolver_match, request.resolver_match)
+
+    def test_deepcopy(self):
+        request = RequestFactory().get("/")
+        request.session = {}
+        request_copy = copy.deepcopy(request)
+        request.session["key"] = "value"
+        self.assertEqual(request_copy.session, {})
 
 
 class HostValidationTests(SimpleTestCase):