diff --git a/python-healpy-fix-cfitsio-4.0.patch b/python-healpy-fix-cfitsio-4.0.patch
new file mode 100644
index 0000000..30979aa
--- /dev/null
+++ b/python-healpy-fix-cfitsio-4.0.patch
@@ -0,0 +1,29 @@
+diff -Naur healpy-1.15.0/healpixsubmodule/src/cxx/cxxsupport/fitshandle.cc healpy-1.15.0.new/healpixsubmodule/src/cxx/cxxsupport/fitshandle.cc
+--- healpy-1.15.0/healpixsubmodule/src/cxx/cxxsupport/fitshandle.cc	2021-06-22 13:20:56.000000000 +0200
++++ healpy-1.15.0.new/healpixsubmodule/src/cxx/cxxsupport/fitshandle.cc	2021-12-31 21:31:30.439657095 +0100
+@@ -801,10 +801,25 @@
+         "error calling fits_get_version()");
+       int v_header  = nearest<int>(1000.*CFITSIO_VERSION),
+           v_library = nearest<int>(1000.*fitsversion);
++      /* CFITSIO 4.x switched to a three version format (4.0.0), as opposed
++       * to previous two-number versions (3.47). Version 4 defines a new macro
++       * CFITSIO_MICRO to track the patch level in the version. We check if
++       * macro is defined, and fall back to the old behaviour if it is not.
++       * If it is, we adapt to the new value returned by 'fits_get_version'.
++       */
++#ifdef CFITSIO_MICRO
++      int v_header  = nearest<int>(1E6*CFITSIO_MAJOR + 1000.*CFITSIO_MINOR + CFITSIO_MICRO),
++          v_library = nearest<int>(1E6*fitsversion);
++      if (v_header!=v_library)
++        cerr << endl << "WARNING: version mismatch between CFITSIO header (v"
++             << dataToString(v_header*1.0E-6) << ") and linked library (v"
++             << dataToString(v_library*1.0E-6) << ")." << endl << endl;
++#else
+       if (v_header!=v_library)
+         cerr << endl << "WARNING: version mismatch between CFITSIO header (v"
+              << dataToString(v_header*0.001) << ") and linked library (v"
+              << dataToString(v_library*0.001) << ")." << endl << endl;
++#endif
+       }
+   };
+ 
diff --git a/python-healpy.spec b/python-healpy.spec
index 9f8c021..62c1c40 100644
--- a/python-healpy.spec
+++ b/python-healpy.spec
@@ -10,6 +10,9 @@ License:        GPLv2+
 URL:            https://pypi.python.org/pypi/%{srcname}
 Source0:        https://files.pythonhosted.org/packages/source/h/%{srcname}/%{srcname}-%{version}.tar.gz
 
+# Fix build with cfitsio 4.0, backported healpix patch https://sourceforge.net/p/healpix/code/1189/tree//branches/branch_v380r1183/src/cxx/cxxsupport/fitshandle.cc?diff=50dae5f434309d7d74da16d0:1188
+Patch0:         python-healpy-fix-cfitsio-4.0.patch
+
 # Upstream only supports 64 bit architectures, 32 Bit builds, but tests fail
 # and we don't want to provide a non reliable software.
 # Check https://github.com/healpy/healpy/issues/194
@@ -18,10 +21,7 @@ ExclusiveArch:  aarch64 ppc64 ppc64le x86_64 s390x
 ExcludeArch:    %{ix86} %{arm}
 
 # Common build requirements
-# Use bundled cfitsio until healpy is compatible with cftision 4.0
-# https://github.com/healpy/healpy/issues/722
-Provides:       bundled(cfitsio) = 3.48
-#BuildRequires:  cfitsio-devel
+BuildRequires:  cfitsio-devel
 BuildRequires:  gcc-c++
 
 # Python 3 build requirements