diff --git a/lua-sec.spec b/lua-sec.spec
index 4a86585..2a69cdc 100644
--- a/lua-sec.spec
+++ b/lua-sec.spec
@@ -10,19 +10,19 @@
 Summary:        Lua binding for OpenSSL library
 Name:           lua-sec
 Version:        0.9
-Release:        4%{?dist}
+Release:        5%{?dist}
 License:        MIT
 URL:            https://github.com/brunoos/luasec
 Source0:        https://github.com/brunoos/luasec/archive/v%{version}/luasec-%{version}.tar.gz
-%if 0%{?fedora} >= 16 || 0%{?rhel} >= 7
 Requires:       lua(abi) = %{lua_version}
-%else
-Requires:       lua >= %{lua_version}
-%endif
 Requires:       lua-socket
 BuildRequires:  gcc
 BuildRequires:  lua-devel
+%if 0%{?fedora} || 0%{?rhel} >= 8
 BuildRequires:  openssl-devel >= 1.0.2
+%else
+BuildRequires:  openssl11-devel
+%endif
 
 %description
 Lua binding for OpenSSL library to provide TLS/SSL communication.
@@ -53,9 +53,14 @@ cp -a . %{lua_compat_builddir}
 %endif
 
 %build
+%if 0%{?rhel} == 7
+OPENSSL_CFLAGS="$(pkg-config --cflags-only-I openssl11)"
+OPENSSL_LDFLAGS="$(pkg-config --libs-only-L openssl11)"
+%endif
+
 %make_build linux \
-  CFLAGS="$RPM_OPT_FLAGS -fPIC -I. -I%{_includedir} -DWITH_LUASOCKET -DLUASOCKET_DEBUG -DLUA_COMPAT_APIINTCASTS" \
-  LD="gcc -shared" LDFLAGS="-fPIC -shared -L./luasocket $RPM_LD_FLAGS"
+  CFLAGS="$RPM_OPT_FLAGS -fPIC -I. -I%{_includedir} -DWITH_LUASOCKET -DLUASOCKET_DEBUG -DLUA_COMPAT_APIINTCASTS $OPENSSL_CFLAGS" \
+  LD="gcc -shared" LDFLAGS="-fPIC -shared -L./luasocket $RPM_LD_FLAGS $OPENSSL_LDFLAGS"
 
 %if 0%{?fedora} >= 20
 pushd %{lua_compat_builddir}
@@ -67,8 +72,8 @@ popd
 
 %install
 %make_install \
-  CFLAGS="$RPM_OPT_FLAGS -fPIC -I. -I%{_includedir} -DWITH_LUASOCKET -DLUASOCKET_DEBUG -DLUA_COMPAT_APIINTCASTS" \
-  LD="gcc -shared" LDFLAGS="-fPIC -shared -L./luasocket $RPM_LD_FLAGS" \
+  CFLAGS="$RPM_OPT_FLAGS -fPIC -I. -I%{_includedir} -DWITH_LUASOCKET -DLUASOCKET_DEBUG -DLUA_COMPAT_APIINTCASTS $OPENSSL_CFLAGS" \
+  LD="gcc -shared" LDFLAGS="-fPIC -shared -L./luasocket $RPM_LD_FLAGS $OPENSSL_LDFLAGS" \
   LUAPATH=%{lua_pkgdir} LUACPATH=%{lua_libdir}
 
 %if 0%{?fedora} >= 20
@@ -99,6 +104,9 @@ popd
 %endif
 
 %changelog
+* Sat Nov 14 2020 Robert Scheck <robert@fedoraproject.org> 0.9-5
+- Build against OpenSSL 1.1 on RHEL 7 (for TLSv1.3 support)
+
 * Tue Jul 28 2020 Fedora Release Engineering <releng@fedoraproject.org> - 0.9-4
 - Rebuilt for https://fedoraproject.org/wiki/Fedora_33_Mass_Rebuild