Cubs right-hander Ryan Dempster has talked with management more than once about the prospects of being traded and waiving his no-trade rights.
Dempster is being coveted by a number of contenders, including the Yankees and Dodgers.
Rival executives say his rent-a-player status and high performance could prompt teams to strike quick with strong offers.
"If that's the case, then I'd have to really consider it at that point," Dempster said.
Dodgers, Yankees Interested In Dempster