In a series of trade deadline deals, the Los Angeles Dodgers shipped starting pitcher Dustin May to the Boston Red Sox while also receiving some outfield and bullpen help on Thursday.

Compared with the flurry of blockbuster deals that reverberated around them in the National League, the Dodgers' moves were mild, tame and certainly cost conscientious.

The Dodgers are adding depth to their bullpen in a trade with the Twins, acquiring right-hander Brock Stewart, a source told MLB.com's Mark Feinsand on Thursday. The clubs have not confirmed the move.