Smith (elbow) has increased his level of throwing and is now participating in bullpen sessions, Evan Drellich of CSN New England reports.
Manager John Farrell said that Smith threw too aggressively in his first bullpen session and experienced some soreness afterwards, but has had a series of healthy workouts since. Although the team has yet to lay out an official timeframe for Smith's return, it appears that returning at some point in June is still attainable.