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. His first start for the Bats last Thursday did not go well; the left-hander was chased after just 32 pitches. He allowed four runs on two hits and two walks and committed a balk over two-thirds of an inning. The goal for Tuesday's start is to work up to 60 pitches.