AD Authentication | Passing Credentials

We are having an ASP.NET MVC Application which is using Windows Authentication (AD).  We have a requirement to integrate this application with an existing WPF Application - essentially both the WPF Application and the ASP.NET MVC App will be authenticating with the same AD.  A Page from the ASP.NET App would be launched from a specific Action on the WPF Application. In this scenario, the customer wants to get a SSO type of experience and does not want the ASP.NET App to prompt for credentials again given that the User would have logged onto the WPF application. Is it possibly to pass the credentials or security token onto the ASP.NET App?