Giles allowed a hit and struck out one batter over one inning in Monday's 5-1 win over the Yankees.
Manager A.J. Hinch likely gave Giles the work in a non-save situation to take the stench away from his outing a day earlier, when Houston's closer allowed three runs without recording an out. He's expended 35 pitches over Sunday and Monday, which could make him unavailable if a save chance arises Tuesday.