Williamson (shoulder) will make his next rehab start at Triple-A Louisville on Tuesday, MLB.com reports.
Williamson, who began a rehab assignment last week with a two-inning outing for Double-A Chattanooga, will be making his third rehab start and second for Louisville. He'll be targeting around 60 pitches in Tuesday's outing, after he allowed four runs on two hits and two walks while recording two outs his last time out for Louisville.