The way I understand it from people familiar with the trade market, Byrd is drawing the eye of teams not interested in overpaying to get White Sox OF Alex Rios. For instance, the Pirates and Rangers might consider trading less for Byrd, even if it's perceived as 'overpaying,' because it will be less than what Rios will cost, with significantly less commitment, and possibly better production.
In early July, Marc Carig of Newsday said the Mets had yet to field any calls on Byrd from teams looking to trade for an outfielder. However, he added, “They expect that to change if he keeps (hitting the way he is hitting)."
Byrd recently told MetsMerized Online that, while he expects there to be trade rumors, he would love to keep playing for the Mets.
“Sandy Alderson’s going to do anything possible to make this organization the best it can be,” Byrd said. “That could be keeping me or trading me for some pieces down the road. … If it happens, it happens. If it doesn’t, I love this organization and I’d love to stay.”