ASP.NET MVC 5 OWIN Cookie Expiration - asp.net

Question

I am using OWIN middleware in my web app to manage logins/claims and issuing a cookie. The initial requirement was that the user should automatically be logged out when the browser was closed. That was easy enough, and accomplished by setting AuthenticationProperties.IsPersistent = false.
A new requirement came in that not only should the user be automatically logged out upon browser close, but they should also timeout after one hour of inactivity. I updated my ConfigureAuth method within my Startup class to provide an ExpireTimeSpan and set SlidingExpiration = true. To make those changes work, I then set AuthenticationProperties.IsPersistent = true.
Those changes made the user timeout after an hour, but now, since the cookie is persistent, the user is no longer automatically logged out upon browser close. Is there anyway to get both of these functionalities? I want my cake and eat it too!
Code used for reference:
public partial class Startup
{
public void ConfigureAuth(IAppBuilder app)
{
app.UseCookieAuthentication(new CookieAuthenticationOptions
{
AuthenticationType = DefaultAuthenticationTypes.ApplicationCookie,
ExpireTimeSpan = TimeSpan.FromHours(1),
SlidingExpiration = true,
LoginPath = new PathString("/Consent/Index"),
ReturnUrlParameter = "returnUrl"
});
}
}
and
private void UpdateClaims(User user)
{
var claims = new List<Claim>();
claims.Add(new Claim(BlahBlahBlah));
claims.Add(new Claim(MoreBlahBlah));
var identity = new ClaimsIdentity(claims, DefaultAuthenticationTypes.ApplicationCookie, ClaimTypes.Name, ClaimTypes.Role);
Authentication.SignIn(new AuthenticationProperties
{
IsPersistent = true
}, identity);
}