diff --git a/fix-integral-size-32bit.patch b/fix-integral-size-32bit.patch
new file mode 100644
index 0000000..03fc9e0
--- /dev/null
+++ b/fix-integral-size-32bit.patch
@@ -0,0 +1,26 @@
+From 8182bb208e31cf9244dd3e6f567d3e27a33c973e Mon Sep 17 00:00:00 2001
+From: =?UTF-8?q?Jean-No=C3=ABl=20Grad?= <jgrad@icp.uni-stuttgart.de>
+Date: Wed, 20 Jul 2022 21:25:34 +0200
+Subject: [PATCH] tests: Fix integral size on 32bit archs
+
+---
+ src/utils/tests/integral_parameter_test.cpp |    6 +++---
+ 1 file changed, 3 insertions(+), 3 deletions(-)
+
+--- a/src/utils/tests/integral_parameter_test.cpp
++++ b/src/utils/tests/integral_parameter_test.cpp
+@@ -38,11 +38,11 @@ BOOST_AUTO_TEST_CASE(integral_parameter_
+                    std::pair<std::size_t, int>>::value,
+       "");
+ 
+-  BOOST_CHECK(std::make_pair(1ul, 13) ==
++  BOOST_CHECK(std::make_pair(std::size_t{1u}, 13) ==
+               (Utils::integral_parameter<F, 1, 5>(1, 13)));
+-  BOOST_CHECK(std::make_pair(3ul, 13) ==
++  BOOST_CHECK(std::make_pair(std::size_t{3u}, 13) ==
+               (Utils::integral_parameter<F, 1, 5>(3, 13)));
+-  BOOST_CHECK(std::make_pair(5ul, 13) ==
++  BOOST_CHECK(std::make_pair(std::size_t{5u}, 13) ==
+               (Utils::integral_parameter<F, 1, 5>(5, 13)));
+   BOOST_CHECK_THROW((Utils::integral_parameter<F, 1, 5>(6, 13)),
+                     std::exception);
diff --git a/python3-espressomd.changes b/python3-espressomd.changes
index d8101be..51a076f 100644
--- a/python3-espressomd.changes
+++ b/python3-espressomd.changes
@@ -65,6 +65,8 @@ Tue Jul 19 19:40:59 UTC 2022 - Matej Cepl <mcepl@suse.com>
      interactive Python session (#3751).
    * MDAnalysis integration now provides bond information
      (#3801).
+- Add fix-integral-size-32bit.patch to fix build on 32bit arch
+  (gh#espressomd/espresso#4537).
 
 -------------------------------------------------------------------
 Sat Apr 16 00:24:21 UTC 2022 - Jean-Noel Grad <jgrad@icp.uni-stuttgart.de>
diff --git a/python3-espressomd.spec b/python3-espressomd.spec
index 976f68f..d6a5241 100644
--- a/python3-espressomd.spec
+++ b/python3-espressomd.spec
@@ -50,6 +50,9 @@ Patch1:         missing_size_t.patch
 Patch2:         hdf5.patch
 # PATCH-FIX-OPENSUSE rpath.patch boo#1198352
 Patch3:         rpath.patch
+# PATCH-FIX-UPSTREAM fix-integral-size-32bit.patch gh#espressomd/espresso#4537 mcepl@suse.com
+# fix building on 32bit arch
+Patch4:         fix-integral-size-32bit.patch
 BuildRequires:  cmake
 BuildRequires:  fftw3-devel
 BuildRequires:  gcc-c++