Woodford (shoulder) made his third rehab start Thursday with Triple-A Memphis, striking out three over 1.2 scoreless innings. He gave up one hit and walked one.
Woodford made two appearances for Double-A Springfield before advancing to Memphis as he works his way back from a right shoulder strain. He could get some starts down the stretch for a Cardinals club whose rotation depth has been depleted by trades and injury, but he'll need to build up further before getting a look as a starter in the big leagues.