As a result, six-year pitcher Dustin May could be the odd man out. "In the last week, trade rumors have started to swirl around May, the oft-injured right-hander who is finally healthy this season — but also having an up-and-down campaign in his final year before free agency," Jack Harris wrote for the Los Angeles Times.

The Red Sox and Dodgers could be gearing up for another trade, according to a new report ahead of the July 31 trade deadline.