Most everyone, including me, thought Chris Simms would be the one who was moved over the draft weekend. The Bucs said they did field some calls for Simms, but no offer more than a sixth rounder ever materialized and, apparently, the Bucs think he's worth more than that.
Bruce Gradkowski, on the other hand, they were actively trying to find a new home for.
There's a chance, though, that the Bucs will hold onto Simms, possibly even through training camp. After all, they passed on several chances to trade him and Brian Griese during the draft, all while trying to peddle Bruce Gradkowski.
Here's the scenario: The Bucs are taking five quarterbacks to training camp; that much they've already said. Jeff Garcia, Griese, and Josh Johnson are locks and Jake Plummer isn't showing up. I'm going to assume that Luke McCown also makes the cut since he really has no trade value and he performed well enough last year to earn another look. That leaves two guys for one spot; someone is getting cut or traded before camp. Simms wants to be that guy, but the Bucs may feel that he is too valuable to release outright if no one is willing to trade for him right away. They couldn't get a decent sandwich for Gradkowski last weekend and he won't get any more valuable in the next two months. They may just release Gradkowski outright. And if that happens, Chris Simms's head will explode.
Simms could make a stink about it by not showing up to camp, but he's not so incredibly wealthy that he can comfortably take the $14,000 per day fine that staging that kind of protest would cost. Plus if he holds out, he's not about to show off that he's 100% healthy now and maybe stir up interest in himself to prompt a trade that the Bucs would accept. Meanwhile, Gradkowski at least gets to decide his own fate, as grim as the possibilities for him may be. Not a fun time to be Chris Simms right now.

