Nah, they can make moves to free up space pretty easily. They probably will have to choose between Edmunds and Poyer, but after that if someone doesn't get re-signed it's because they don't believe what he is asking for is equal to his actual value.
And that's a thing too, FYI. If someone is going to get a crazy offer in UFA, either you are going to choose to overpay them or you are going to let someone else choose to overpay them.
I'd rather it be someone else.