Garrett (elbow) began a throwing progression Saturday, Tim Healey of Newsday reports.
Garrett landed on the 15-day injured list July 10 due to right elbow inflammation, and Saturday marks the first time he has done any sort of throwing since then. The 31-year-old said he's hoping for a quick ramp-up process, though it remains unclear if he'll be able to pitch again before the end of July.