Glasnow (oblique) threw off flat ground Sunday and said that he expects to throw a bullpen session next week, Kristie Ackert of the Tampa Bay Times reports.
Glasnow added that he's been long tossing for "a while" now and throwing out past 120 feet. The right-hander has been out since late February while recovering from a left oblique strain. Glasnow will need several bullpen sessions and rehab starts before joining the Rays rotation, but the 29-year-old right-hander looks to have steered clear of any setbacks up to this point in his recovery program.