Is it possible for cookie to timeout in the middle of operation?

Probably a dumb question.

For example if I create cookie with name Permission, value true, and expires in 3 minutes and I have Attribute [CheckPermission].

[CheckPermission]
public ActionResult test()
{
     //do some shitty process that takes 5 minutes
     var flag = cookie["Permission"];
     //rest of code here
}

Ok so let's say you can only access test method if Permission cookie is set to true, test method contains some shitty process that took around 5 minutes, by the time it's done the cookie is already expired because it was set to expires in 3 minutes. Is this scenario possible or .NET automatically prevent this? If yes, then how do you prevent the cookie to not timeout in the middle of operation?

Thanks

Sorry for bad english