diff --git a/python-pip.spec b/python-pip.spec
index b1888d3..b364d8b 100644
--- a/python-pip.spec
+++ b/python-pip.spec
@@ -19,7 +19,7 @@ Name:           python-%{srcname}
 # When updating, update the bundled libraries versions bellow!
 # You can use vendor_meta.sh in the dist git repo
 Version:        %{base_version}%{?prerel:~%{prerel}}
-Release:        2%{?dist}
+Release:        3%{?dist}
 Summary:        A tool for installing and managing Python packages
 
 # We bundle a lot of libraries with pip, which itself is under MIT license.
@@ -99,6 +99,11 @@ Patch5:         nowarn-pip._internal.main.patch
 # Upstream PR: https://github.com/pypa/pip/pull/9827
 Patch8:         don-t-split-git-references-on-unicode-separators.patch
 
+# Don't put an underscore in the version portion of Python 3.10 compatibility tags
+# From https://github.com/pypa/packaging/pull/355 (merged upstream)
+# Fixes https://bugzilla.redhat.com/show_bug.cgi?id=1999035
+Patch9:         python3.10-abi-tag-fix.patch
+
 # Downstream only patch
 # Users might have local installations of pip from using
 # `pip install --user --upgrade pip` on older/newer versions.
@@ -408,6 +413,10 @@ pytest_k='not completion and
 %{python_wheeldir}/%{python_wheelname}
 
 %changelog
+* Mon Aug 30 2021 Miro Hrončok <mhroncok@redhat.com> - 20.2.2-3
+- Properly recognize Python 3.10 wheel tags
+- Fixes: rhbz#1999035
+
 * Mon May 17 2021 Karolina Surma <ksurma@redhat.com> - 20.2.2-2
 - Backport security fix from pip 21.1.1
 
diff --git a/python3.10-abi-tag-fix.patch b/python3.10-abi-tag-fix.patch
new file mode 100644
index 0000000..a1399af
--- /dev/null
+++ b/python3.10-abi-tag-fix.patch
@@ -0,0 +1,33 @@
+From a6253448766965e34f1d0dd58cdf317790d25dd7 Mon Sep 17 00:00:00 2001
+From: =?UTF-8?q?Miro=20Hron=C4=8Dok?= <miro@hroncok.cz>
+Date: Tue, 24 Nov 2020 12:06:14 +0100
+Subject: [PATCH] Don't put an underscore in the version portion of Python 3.10
+ compatibility tags
+
+PEP 641 is rejected.
+
+See https://discuss.python.org/t/5513/42
+See https://www.python.org/dev/peps/pep-0641/
+
+Fixes https://github.com/pypa/packaging/issues/372
+
+Co-authored-by: Pradyun Gedam <pradyunsg@users.noreply.github.com>
+---
+
+diff --git a/src/pip/_vendor/packaging/tags.py b/src/pip/_vendor/packaging/tags.py
+index 9064910..5d901e9 100644
+--- a/src/pip/_vendor/packaging/tags.py
++++ b/src/pip/_vendor/packaging/tags.py
+@@ -722,11 +722,7 @@ def interpreter_version(**kwargs):
+ 
+ def _version_nodot(version):
+     # type: (PythonVersion) -> str
+-    if any(v >= 10 for v in version):
+-        sep = "_"
+-    else:
+-        sep = ""
+-    return sep.join(map(str, version))
++    return "".join(map(str, version))
+ 
+ 
+ def sys_tags(**kwargs):