diff --git a/README.md b/README.md
index 3d30bf1251..61c48b1491 100644
--- a/README.md
+++ b/README.md
@@ -5,9 +5,9 @@ AppVeyor: [![AppVeyor](https://ci.appveyor.com/api/projects/status/yyivj6uwu3uj2
 
 Travis:   [![Travis](https://travis-ci.org/aspnet/Session.svg?branch=dev)](https://travis-ci.org/aspnet/Session)
 
-Contains libraries for session state middleware for ASP.NET 5.
+Contains libraries for session state middleware for ASP.NET Core.
 
-This project is part of ASP.NET 5. You can find samples, documentation and getting started instructions for ASP.NET 5 at the [Home](https://github.com/aspnet/home) repo.
+This project is part of ASP.NET Core. You can find samples, documentation and getting started instructions for ASP.NET Core at the [Home](https://github.com/aspnet/home) repo.