diff --git a/openssl-1_1.spec b/openssl-1_1.spec
index 3ad0105..f3e7b73 100644
--- a/openssl-1_1.spec
+++ b/openssl-1_1.spec
@@ -152,6 +152,7 @@ Recommends:     ca-certificates-mozilla
 Suggests:       libopenssl1_1-hmac = %{version}-%{release}
 # Needed for clean upgrade from former openssl-1_1_0, boo#1081335
 Obsoletes:      libopenssl1_1_0
+Conflicts:      %{name} < %{version}-%{release}
 
 %description -n libopenssl1_1
 OpenSSL is a software library to be used in applications that need to