According to Ken Rosenthal, Lowe isn't an East Coast kind of guy.
The Yankees shouldn't be confident of landing right-hander Derek Lowe. Lowe, like any dutiful free agent, will entertain bids from both New York teams, but teammates say he has little interest in playing for the Mets or Yankees. Some rival clubs believe that Lowe wants to stay on the west coast. The Braves remain interested.Just wait until he sees the money offered. I'm sure that will give him a change of heart.
Both the Mets and the Yankees have at least one spot to fill in their rotation, so there is going to be a bidding war for any capable starter between these two teams.