diff --git a/0003-fix-tests-Fix-exception-on-copying-frame.f_locals-Py.patch b/0003-fix-tests-Fix-exception-on-copying-frame.f_locals-Py.patch
new file mode 100644
index 0000000..cdf8dd4
--- /dev/null
+++ b/0003-fix-tests-Fix-exception-on-copying-frame.f_locals-Py.patch
@@ -0,0 +1,78 @@
+From 7defd4e239cd4fe1749b74487bf5b52328e2c23e Mon Sep 17 00:00:00 2001
+From: Roman Inflianskas <rominf@pm.me>
+Date: Thu, 4 Jul 2024 22:34:14 +0300
+Subject: [PATCH] fix(tests): Fix exception on copying `frame.f_locals` (Python
+ 3.13)
+
+Starting from Python 3.13, `frame.f_locals` is not `dict` anymore, but
+`FrameLocalsProxy`, that cannot be copied using `copy.copy()`. In Python
+3.13 and later, it should be copied using a method `.copy()`. The new way
+of copying works the same as the old one for versions of Python prior to
+3.13, according to the documentation (both copying methods produce a
+shallow copy).
+
+Since Python 3.13, `FrameLocalsProxy` skips items of `locals()` that have
+non-`str` keys; this is a CPython implementation detail. Disable
+`test_non_string_variables` test on Python 3.13.
+
+See:
+https://peps.python.org/pep-0667/
+https://github.com/python/cpython/issues/118921
+https://github.com/python/cpython/pull/118923
+https://docs.python.org/3.13/whatsnew/3.13.html#porting-to-python-3-13
+https://docs.python.org/3/library/copy.html
+https://github.com/python/cpython/blame/7b413952e817ae87bfda2ac85dd84d30a6ce743b/Objects/frameobject.c#L148
+---
+ sentry_sdk/utils.py  | 3 +--
+ tests/test_client.py | 7 +++++++
+ 2 files changed, 8 insertions(+), 2 deletions(-)
+
+diff --git a/sentry_sdk/utils.py b/sentry_sdk/utils.py
+index a84f2eb3..64bbd383 100644
+--- a/sentry_sdk/utils.py
++++ b/sentry_sdk/utils.py
+@@ -11,7 +11,6 @@ import sys
+ import threading
+ import time
+ from collections import namedtuple
+-from copy import copy
+ from datetime import datetime
+ from decimal import Decimal
+ from functools import partial, partialmethod, wraps
+@@ -618,7 +617,7 @@ def serialize_frame(
+         )
+ 
+     if include_local_variables:
+-        rv["vars"] = copy(frame.f_locals)
++        rv["vars"] = frame.f_locals.copy()
+ 
+     return rv
+ 
+diff --git a/tests/test_client.py b/tests/test_client.py
+index 0464f32b..447359a1 100644
+--- a/tests/test_client.py
++++ b/tests/test_client.py
+@@ -31,6 +31,12 @@ if TYPE_CHECKING:
+     from sentry_sdk._types import Event
+ 
+ 
++maximum_python_312 = pytest.mark.skipif(
++    sys.version_info > (3, 12),
++    reason="Since Python 3.13, `FrameLocalsProxy` skips items of `locals()` that have non-`str` keys; this is a CPython implementation detail: https://github.com/python/cpython/blame/7b413952e817ae87bfda2ac85dd84d30a6ce743b/Objects/frameobject.c#L148",
++)
++
++
+ class EnvelopeCapturedError(Exception):
+     pass
+ 
+@@ -879,6 +885,7 @@ def test_errno_errors(sentry_init, capture_events):
+     assert exception["mechanism"]["meta"]["errno"]["number"] == 69
+ 
+ 
++@maximum_python_312
+ def test_non_string_variables(sentry_init, capture_events):
+     """There is some extremely terrible code in the wild that
+     inserts non-strings as variable names into `locals()`."""
+-- 
+2.45.2
+
diff --git a/0004-fix-utils-Handle-partialmethod-in-qualname_from_func.patch b/0004-fix-utils-Handle-partialmethod-in-qualname_from_func.patch
new file mode 100644
index 0000000..152f154
--- /dev/null
+++ b/0004-fix-utils-Handle-partialmethod-in-qualname_from_func.patch
@@ -0,0 +1,43 @@
+From a87d055571b0ae496b60d4e833f64b925e5f9563 Mon Sep 17 00:00:00 2001
+From: Roman Inflianskas <rominf@pm.me>
+Date: Fri, 5 Jul 2024 16:38:32 +0300
+Subject: [PATCH] fix(utils): Handle `partialmethod` in qualname_from_function
+ (CPython 3.13)
+
+`_partialmethod` attribute of methods wrapped with `partialmethod()` was
+renamed to `__partialmethod__` in CPython 3.13:
+https://github.com/python/cpython/pull/16600
+---
+ sentry_sdk/utils.py | 14 ++++++++------
+ 1 file changed, 8 insertions(+), 6 deletions(-)
+
+diff --git a/sentry_sdk/utils.py b/sentry_sdk/utils.py
+index 64bbd383..262f4f97 100644
+--- a/sentry_sdk/utils.py
++++ b/sentry_sdk/utils.py
+@@ -1329,14 +1329,16 @@ def qualname_from_function(func):
+ 
+     prefix, suffix = "", ""
+ 
+-    if hasattr(func, "_partialmethod") and isinstance(
+-        func._partialmethod, partialmethod
+-    ):
+-        prefix, suffix = "partialmethod(<function ", ">)"
+-        func = func._partialmethod.func
+-    elif isinstance(func, partial) and hasattr(func.func, "__name__"):
++    if isinstance(func, partial) and hasattr(func.func, "__name__"):
+         prefix, suffix = "partial(<function ", ">)"
+         func = func.func
++    else:
++        # _partialmethod attribute of methods wrapped with partialmethod() was renamed to __partialmethod__ in CPython 3.13:
++        # https://github.com/python/cpython/pull/16600
++        partial_method = getattr(func, "_partialmethod", None) or getattr(func, "__partialmethod__", None)
++        if isinstance(partial_method, partialmethod):
++            prefix, suffix = "partialmethod(<function ", ">)"
++            func = partial_method.func
+ 
+     if hasattr(func, "__qualname__"):
+         func_qualname = func.__qualname__
+-- 
+2.45.2
+
diff --git a/python-sentry-sdk.spec b/python-sentry-sdk.spec
index 2f7739e..e900268 100644
--- a/python-sentry-sdk.spec
+++ b/python-sentry-sdk.spec
@@ -61,6 +61,11 @@ Patch0:         0001-Reorder-forked-tests.patch
 # Tests fail because they are expected to be executed in a clean environment.
 # Upstream PR: https://github.com/getsentry/sentry-python/pull/3240
 Patch1:         0002-ref-tests-Unhardcode-integration-list.patch
+# Patches for Python 3.13 support
+# Upstream PR: https://github.com/getsentry/sentry-python/pull/3271
+Patch2:         0003-fix-tests-Fix-exception-on-copying-frame.f_locals-Py.patch
+# Upstream PR: https://github.com/getsentry/sentry-python/pull/3272
+Patch3:         0004-fix-utils-Handle-partialmethod-in-qualname_from_func.patch
 
 BuildArch:      noarch
 BuildRequires:  python3-devel