Woodford agreed to a minor-league contract with the Rays on Monday, Marc Topkin of the Tampa Bay Times reports.
Woodford was cast off the Cubs' 40-man roster Tuesday and elected free agency a few days later. It didn't take long for the right-hander to find work, as he'll be brought in by the Rays on a minor-league deal to serve as pitching depth. Woodford owns a 7.18 ERA and 1.78 WHIP with 23 strikeouts across 26.1 innings in the big leagues this season between stops in Milwaukee and Chicago.