diff --git a/LICENSE_EXCEPTION b/LICENSE_EXCEPTION
index 0a771c374..24b9cf638 100644
--- a/LICENSE_EXCEPTION
+++ b/LICENSE_EXCEPTION
@@ -1,11 +1,12 @@
 LICENSE EXCEPTION FOR OPENSSL
 
 In addition, as a special exception, the copyright holders give
-permission to link the code of portions of this program with the OpenSSL
-library.
+permission to link this program with the OpenSSL library (or with
+modified versions of OpenSSL that use the same license as OpenSSL),
+and distribute linked combinations including the two.
 
-You must obey the GNU General Public License in all respects for all of
-the code used other than OpenSSL. If you modify file(s) with this
+You must obey the GNU General Public License in all respects for
+all of the code used other than OpenSSL. If you modify file(s) with this
 exception, you may extend this exception to your version of the file(s),
 but you are not obligated to do so. If you do not wish to do so, delete
 this exception statement from your version. If you delete this exception
diff --git a/README.md b/README.md
index 283385488..e82e7654f 100644
--- a/README.md
+++ b/README.md
@@ -249,4 +249,4 @@ versions across them and gathering other information.
 
 ## License
 
-This project is licensed under [GPL-2.0](LICENSE) with an OpenSSL [exception](LICENSE_EXCEPTION).
+This project is licensed under [GPL-2.0](LICENSE) with an [OpenSSL exception](LICENSE_EXCEPTION).