Could Gregerson, one of the top relievers in the National League since 2009, be on the move between now and Wednesday?
"Honestly, I don't even think about it," Gregerson said. "I'm living for today, and I'm here with this team right now. I like playing with this group of guys, I like playing for this team. I really enjoy being here. I'm going to keep doing that until they come to me and tell me that they made a trade."
The Padres are listening to offers on any number of their players, but Gregerson is believed to be getting the most hits from teams looking for bullpen upgrades.
Since his rookie season (2009), Gregerson is tied with Adams for the most holds in baseball (120). He has a 2.90 ERA, and only three other relievers with more than 300 appearances since 2009 have a lower ERA than Gregerson -- Jonathan Papelbon (2.71), Brad Ziegler (2.70) and Tyler Clippard (2.68).
Gregerson also has the second-best inherited-runs-scored percentage (20.5) in baseball in that stretch, trailing only Randy Choate (19.2).
The Padres are looking for a starting pitcher -- one they could control beyond 2013 -- to help fortify the rotation now and into the future.
As for Gregerson, he's essentially paying no attention to the rumors swirling around him. He intends to keep it that way, too.
"It's something you see every year. Teams move players around to try to get the best team you can. You don't see too many guys stick around in one place that long," he said. "For me, I'm not going to worry about it or think about it."
Corey Brock is a reporter for MLB.com. Keep track of @FollowThePadres on Twitter. This story was not subject to the approval of Major League Baseball or its clubs.