The Rays selected Woodford's contract from Triple-A Durham on Thursday, Ryan Bass of Rays.tv reports.
Woodford will provide some bullpen protection after the Rays' relief corps was needed for 4.1 innings in Wednesday's loss to the Yankees. He's collected a 7.18 ERA and 1.78 WHIP with 23 strikeouts across 26.1 innings in the big leagues this season between stops with the Brewers and Cubs.