diff --git a/0005-FindBoost-Add-support-for-Python-3.10.patch b/0005-FindBoost-Add-support-for-Python-3.10.patch
new file mode 100644
index 0000000..6d0322d
--- /dev/null
+++ b/0005-FindBoost-Add-support-for-Python-3.10.patch
@@ -0,0 +1,78 @@
+From d4bb6c0c7fe8e3ee5aaa275cf939d074f959119b Mon Sep 17 00:00:00 2001
+From: Oleg Sidorkin <osidorkin@gmail.com>
+Date: Thu, 16 Dec 2021 21:24:00 +0300
+Subject: [PATCH 6/6] FindBoost: Add support for Python 3.10
+MIME-Version: 1.0
+Content-Type: text/plain; charset=UTF-8
+Content-Transfer-Encoding: 8bit
+
+Regexps in FindBoost assumed that python's minor version had only one
+digit.  That became not true for 3.10.
+
+Fixes: #23025
+Signed-off-by: Björn Esser <besser82@fedoraproject.org>
+---
+ Modules/FindBoost.cmake | 12 ++++++------
+ 1 file changed, 6 insertions(+), 6 deletions(-)
+
+diff --git a/Modules/FindBoost.cmake b/Modules/FindBoost.cmake
+index 0ad342f0e6..75cbbf56bc 100644
+--- a/Modules/FindBoost.cmake
++++ b/Modules/FindBoost.cmake
+@@ -390,7 +390,7 @@ cmake_policy(SET CMP0102 NEW) # if mark_as_advanced(non_cache_var)
+ 
+ function(_boost_get_existing_target component target_var)
+   set(names "${component}")
+-  if(component MATCHES "^([a-z_]*)(python|numpy)([1-9])\\.?([0-9])?$")
++  if(component MATCHES "^([a-z_]*)(python|numpy)([1-9])\\.?([0-9]+)?$")
+     # handle pythonXY and numpyXY versioned components and also python X.Y, mpi_python etc.
+     list(APPEND names
+       "${CMAKE_MATCH_1}${CMAKE_MATCH_2}" # python
+@@ -407,7 +407,7 @@ function(_boost_get_existing_target component target_var)
+       if(TARGET "${prefix}::${name}")
+         # The target may be an INTERFACE library that wraps around a single other
+         # target for compatibility.  Unwrap this layer so we can extract real info.
+-        if("${name}" MATCHES "^(python|numpy|mpi_python)([1-9])([0-9])$")
++        if("${name}" MATCHES "^(python|numpy|mpi_python)([1-9])([0-9]+)$")
+           set(name_nv "${CMAKE_MATCH_1}")
+           if(TARGET "${prefix}::${name_nv}")
+             get_property(type TARGET "${prefix}::${name}" PROPERTY TYPE)
+@@ -430,7 +430,7 @@ endfunction()
+ 
+ function(_boost_get_canonical_target_name component target_var)
+   string(TOLOWER "${component}" component)
+-  if(component MATCHES "^([a-z_]*)(python|numpy)([1-9])\\.?([0-9])?$")
++  if(component MATCHES "^([a-z_]*)(python|numpy)([1-9])\\.?([0-9]+)?$")
+     # handle pythonXY and numpyXY versioned components and also python X.Y, mpi_python etc.
+     set(${target_var} "Boost::${CMAKE_MATCH_1}${CMAKE_MATCH_2}" PARENT_SCOPE)
+   else()
+@@ -1004,7 +1004,7 @@ function(_Boost_COMPONENT_DEPENDENCIES component _ret)
+   # against the new release.
+ 
+   # Handle Python version suffixes
+-  if(component MATCHES "^(python|mpi_python|numpy)([0-9][0-9]?|[0-9]\\.[0-9])\$")
++  if(component MATCHES "^(python|mpi_python|numpy)([0-9][0-9]?|[0-9]\\.[0-9]+)\$")
+     set(component "${CMAKE_MATCH_1}")
+     set(component_python_version "${CMAKE_MATCH_2}")
+   endif()
+@@ -1408,7 +1408,7 @@ endfunction()
+ #
+ function(_Boost_COMPONENT_HEADERS component _hdrs)
+   # Handle Python version suffixes
+-  if(component MATCHES "^(python|mpi_python|numpy)([0-9][0-9]?|[0-9]\\.[0-9])\$")
++  if(component MATCHES "^(python|mpi_python|numpy)([0-9]+|[0-9]\\.[0-9]+)\$")
+     set(component "${CMAKE_MATCH_1}")
+     set(component_python_version "${CMAKE_MATCH_2}")
+   endif()
+@@ -2165,7 +2165,7 @@ foreach(COMPONENT ${Boost_FIND_COMPONENTS})
+   if(${COMPONENT} MATCHES "^(python|mpi_python|numpy)([0-9])\$")
+     set(COMPONENT_UNVERSIONED "${CMAKE_MATCH_1}")
+     set(COMPONENT_PYTHON_VERSION_MAJOR "${CMAKE_MATCH_2}")
+-  elseif(${COMPONENT} MATCHES "^(python|mpi_python|numpy)([0-9])\\.?([0-9])\$")
++  elseif(${COMPONENT} MATCHES "^(python|mpi_python|numpy)([0-9])\\.?([0-9]+)\$")
+     set(COMPONENT_UNVERSIONED "${CMAKE_MATCH_1}")
+     set(COMPONENT_PYTHON_VERSION_MAJOR "${CMAKE_MATCH_2}")
+     set(COMPONENT_PYTHON_VERSION_MINOR "${CMAKE_MATCH_3}")
+-- 
+2.33.1
+
diff --git a/cmake.spec b/cmake.spec
index 336a539..82da0fc 100644
--- a/cmake.spec
+++ b/cmake.spec
@@ -68,7 +68,7 @@
 %{?rcsuf:%global versuf -%{rcsuf}}
 
 # For handling bump release by rpmdev-bumpspec and mass rebuild
-%global baserelease 3
+%global baserelease 4
 
 # Uncomment if building for EPEL
 #global name_suffix %%{major_version}
@@ -115,6 +115,9 @@ Patch103:       0003-Add-support-for-Python-3.11.patch
 # Add support for Boost 1.78 (merged in upstream)
 # https://gitlab.kitware.com/cmake/cmake/-/issues/23016
 Patch104:       0004-FindBoost-Add-support-for-Boost-1.78.patch
+# FindBoost: Add support for Python >= 3.10 (merged in upstream)
+# https://gitlab.kitware.com/cmake/cmake/-/issues/23025
+Patch105:       0005-FindBoost-Add-support-for-Python-3.10.patch
 
 # Patch for renaming on EPEL
 %if 0%{?name_suffix:1}
@@ -532,6 +535,9 @@ popd
 
 
 %changelog
+* Fri Dec 17 2021 Björn Esser <besser82@fedoraproject.org> - 3.22.1-4
+- Backport patch to add support for Python >= 3.10 in FindBoost.cmake
+
 * Thu Dec 16 2021 Björn Esser <besser82@fedoraproject.org> - 3.22.1-3
 - Backport patch to add Boost 1.78 support