diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 3ff623d0..1f1c8efa 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -22,7 +22,7 @@ jobs:
     runs-on: ubuntu-20.04
     strategy:
       matrix:
-        python-version: ['3.8', '3.9', '3.10', '3.11', '3.12']  # , 'pypy3.10'
+        python-version: ['3.8', '3.9', '3.10', '3.11', '3.12', ' 3.13.0-rc.2', 'pypy3.10']
 
     steps:
     - uses: actions/checkout@v4
diff --git a/mocket/__init__.py b/mocket/__init__.py
index 6335ce87..00284855 100644
--- a/mocket/__init__.py
+++ b/mocket/__init__.py
@@ -3,4 +3,4 @@
 
 __all__ = ("async_mocketize", "mocketize", "Mocket", "MocketEntry", "Mocketizer")
 
-__version__ = "3.12.9"
+__version__ = "3.13.0"
diff --git a/mocket/mocket.py b/mocket/mocket.py
index cca0a4cd..daa0e608 100644
--- a/mocket/mocket.py
+++ b/mocket/mocket.py
@@ -64,7 +64,7 @@
 true_socketpair = socket.socketpair
 true_ssl_wrap_socket = getattr(
     ssl, "wrap_socket", None
-)  # in Py3.12 it's only under SSLContext
+)  # from Py3.12 it's only under SSLContext
 true_ssl_socket = ssl.SSLSocket
 true_ssl_context = ssl.SSLContext
 true_inet_pton = socket.inet_pton
@@ -83,6 +83,7 @@ def __set__(self, *args):
     minimum_version = FakeSetter()
     options = FakeSetter()
     verify_mode = FakeSetter()
+    verify_flags = FakeSetter()
 
 
 class FakeSSLContext(SuperFakeSSLContext):
@@ -102,7 +103,7 @@ def check_hostname(self):
         return self._check_hostname
 
     @check_hostname.setter
-    def check_hostname(self, *args):
+    def check_hostname(self, _):
         self._check_hostname = False
 
     def __init__(self, sock=None, server_hostname=None, _context=None, *args, **kwargs):
diff --git a/pyproject.toml b/pyproject.toml
index 34e887b9..cdb4d9b9 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -19,6 +19,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Programming Language :: Python :: Implementation :: CPython",
     "Programming Language :: Python :: Implementation :: PyPy",
     "Topic :: Software Development",
diff --git a/tests/main/test_http.py b/tests/main/test_http.py
index 21fe448d..d335bcc5 100644
--- a/tests/main/test_http.py
+++ b/tests/main/test_http.py
@@ -308,10 +308,18 @@ def test_request_bodies(self):
     @mocketize(truesocket_recording_dir=os.path.dirname(__file__))
     def test_truesendall_with_dump_from_recording(self):
         requests.get(
-            "http://httpbin.local/ip", headers={"user-agent": "Fake-User-Agent"}
+            "http://httpbin.local/ip",
+            headers={
+                "user-agent": "Fake-User-Agent",
+                "Accept-Encoding": "gzip, deflate, zstd",
+            },
         )
         requests.get(
-            "http://httpbin.local/gzip", headers={"user-agent": "Fake-User-Agent"}
+            "http://httpbin.local/gzip",
+            headers={
+                "user-agent": "Fake-User-Agent",
+                "Accept-Encoding": "gzip, deflate, zstd",
+            },
         )
 
         dump_filename = os.path.join(
diff --git a/tests/main/test_http_with_xxhash.py b/tests/main/test_http_with_xxhash.py
index 4600bf37..a074a864 100644
--- a/tests/main/test_http_with_xxhash.py
+++ b/tests/main/test_http_with_xxhash.py
@@ -11,10 +11,18 @@ class HttpEntryTestCase(HttpTestCase):
     @mocketize(truesocket_recording_dir=os.path.dirname(__file__))
     def test_truesendall_with_dump_from_recording(self):
         requests.get(
-            "http://httpbin.local/ip", headers={"user-agent": "Fake-User-Agent"}
+            "http://httpbin.local/ip",
+            headers={
+                "user-agent": "Fake-User-Agent",
+                "Accept-Encoding": "gzip, deflate, zstd",
+            },
         )
         requests.get(
-            "http://httpbin.local/gzip", headers={"user-agent": "Fake-User-Agent"}
+            "http://httpbin.local/gzip",
+            headers={
+                "user-agent": "Fake-User-Agent",
+                "Accept-Encoding": "gzip, deflate, zstd",
+            },
         )
 
         dump_filename = os.path.join(