diff --git a/python3-espressomd.changes b/python3-espressomd.changes
index 91f3f9a..9b5c418 100644
--- a/python3-espressomd.changes
+++ b/python3-espressomd.changes
@@ -66,6 +66,7 @@ Tue Jul 19 19:40:59 UTC 2022 - Matej Cepl <mcepl@suse.com>
    * MDAnalysis integration now provides bond information
      (#3801).
 - Give up on building on 32bit architectures (gh#espressomd/espresso#4537).
+- Fix rpath in provided libraries and shebang in pypresso.
 
 -------------------------------------------------------------------
 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 cde412d..04ffa14 100644
--- a/python3-espressomd.spec
+++ b/python3-espressomd.spec
@@ -58,6 +58,7 @@ BuildRequires:  gcc-c++
 # Currently libboost_mpi-devel and hdf5 use different mpi versions
 # BuildRequires:  hdf5-devel
 BuildRequires:  %{mpiver}-devel
+BuildRequires:  chrpath
 BuildRequires:  gsl-devel
 BuildRequires:  python3-Cython
 BuildRequires:  python3-devel
@@ -75,6 +76,7 @@ BuildRequires:  zlib-devel
 %else
 BuildRequires:  boost-devel
 %endif
+Provides:       libEspresso4 = %{version}-%{release}
 Obsoletes:      libEspresso4 < 4.1
 Requires:       python3-h5py
 Requires:       python3-numpy
@@ -92,6 +94,9 @@ systems, for example DNA and lipid membranes.
 %prep
 %autosetup -p1 -n %{pkgname}
 
+# Fix shebang line for pypresso
+sed -i -E '1s@^#!/usr/bin/env[[:blank:]]+sh@#!/bin/sh@' src/python/pypresso.cmakein
+
 %build
 source %{_libdir}/mpi/gcc/%{mpiver}/bin/mpivars.sh
 # gh#espressomd/espresso#3396
@@ -111,6 +116,8 @@ export HDF5_USE_SHLIB=yes
 
 %install
 %cmake_install
+find %{buildroot}%{python3_sitearch} -name \*.so \
+    -exec chrpath -r %{python3_sitearch} '{}' \;
 
 %check
 # gh#espressomd/espresso#3315