diff --git a/nbdkit.spec b/nbdkit.spec
index 3ff686b..0640efc 100644
--- a/nbdkit.spec
+++ b/nbdkit.spec
@@ -6,7 +6,7 @@
 
 Name:           nbdkit
 Version:        1.1.16
-Release:        1%{?dist}
+Release:        2%{?dist}
 Summary:        NBD server
 
 License:        BSD
@@ -14,6 +14,14 @@ URL:            https://github.com/libguestfs/nbdkit
 
 Source0:        http://libguestfs.org/download/nbdkit/%{name}-%{version}.tar.gz
 
+%if 0%{?rhel} == 7
+# On RHEL 7, nothing in the virt stack is shipped on aarch64 and
+# libguestfs was not shipped on POWER (fixed in 7.5).  We could in
+# theory make all of this work by having lots more conditionals, but
+# for now limit this package to x86_64 on RHEL.
+ExclusiveArch:  x86_64
+%endif
+
 BuildRequires:  /usr/bin/pod2man
 BuildRequires:  gnutls-devel
 %if 0%{?have_libguestfs}
@@ -26,7 +34,9 @@ BuildRequires:  libcurl-devel
 BuildRequires:  perl-devel
 BuildRequires:  perl(ExtUtils::Embed)
 BuildRequires:  python2-devel
+%if 0%{?rhel} >= 8
 BuildRequires:  python3-devel
+%endif
 %ifarch %{ocaml_native_compiler}
 # Requires OCaml 4.02.2 which contains fix for
 # http://caml.inria.fr/mantis/view.php?id=6693
@@ -196,6 +206,7 @@ Obsoletes:      %{name}-plugin-python <= %{version}-%{release}
 This package lets you write Python 2 plugins for %{name}.
 
 
+%if 0%{?rhel} >= 8
 %package plugin-python3
 Summary:        Python 3 plugin for %{name}
 License:        BSD
@@ -206,6 +217,7 @@ Requires:       %{name}-plugin-python-common = %{version}-%{release}
 
 %description plugin-python3
 This package lets you write Python 3 plugins for %{name}.
+%endif
 
 
 %package plugin-ruby
@@ -273,6 +285,7 @@ mv "$copy" python3
 %configure --disable-static --with-tls-priority=@NBDKIT,SYSTEM
 make %{?_smp_mflags}
 
+%if 0%{?rhel} >= 8
 pushd python3
 export PYTHON=%{_bindir}/python3
 %configure --disable-static --disable-perl --disable-ocaml --disable-ruby
@@ -282,12 +295,14 @@ grep '^PYTHON_VERSION = 3' Makefile
 make %{?_smp_mflags}
 unset PYTHON
 popd
+%endif
 
 
 %install
 # Install for Python 2 and Python 3 separately.
 # We do the Python 3 install first since that build is
 # incomplete.
+%if 0%{?rhel} >= 8
 pushd python3
 %make_install
 popd
@@ -295,6 +310,7 @@ popd
 pushd $RPM_BUILD_ROOT%{_libdir}/nbdkit/plugins/
 mv nbdkit-python-plugin.so nbdkit-python3-plugin.so
 popd
+%endif
 
 %make_install
 
@@ -330,12 +346,14 @@ make check || {
     exit 1
   }
 
+%if 0%{?rhel} >= 8
 pushd python3
 make check || {
     cat tests/test-suite.log
     exit 1
   }
 popd
+%endif
 
 %endif
 %endif
@@ -421,8 +439,10 @@ popd
 %{_libdir}/%{name}/plugins/nbdkit-python2-plugin.so
 
 
+%if 0%{?rhel} >= 8
 %files plugin-python3
 %{_libdir}/%{name}/plugins/nbdkit-python3-plugin.so
+%endif
 
 
 %files plugin-ruby
@@ -455,8 +475,10 @@ popd
 
 
 %changelog
-* Fri Oct 20 2017 Richard W.M. Jones <rjones@redhat.com> - 1.1.16-1
+* Fri Oct 20 2017 Richard W.M. Jones <rjones@redhat.com> - 1.1.16-2
 - New upstream version 1.1.16.
+- Disable python3 plugin on RHEL/EPEL <= 7.
+- Only ship on x86_64 in RHEL/EPEL <= 7.
 
 * Wed Sep 27 2017 Richard W.M. Jones <rjones@redhat.com> - 1.1.15-1
 - New upstream version 1.1.15.