SAN FRANCISCO — Zack Wheeler’s return from the injured list appears close, but team officials are still weighing whether he should immediately rejoin the rotation or would benefit from throwing live batting practice.

The right-hander threw a bullpen session Sunday before the Mets lost 3-2 to the Giants in 12 innings at Oracle Park and reported the session went “good.” Wheeler, who is returning from a shoulder impingement, would be eligible for removal from the IL on Tuesday.

Manager Mickey Callaway has not announced a rotation for this week, but said he tentatively plans to start Jason Vargas, Noah Syndergaard and Jacob deGrom in succession against the Padres beginning Tuesday at Citi Field.

If Wheeler awakens Monday without discomfort, team officials will decide whether he needs to face batters in a simulated game or should be slotted into the rotation immediately.

With the calendar a factor heading to the July 31 trade deadline, the Mets are anxious to pitch Wheeler, who can become a free agent after this season. A club source recently indicated the Mets still believe there is a strong market for Wheeler and he can bring the team a solid return if he’s dealt.

Wheeler, who is 6-6 with a 4.69 ERA this season, last pitched on July 7 and afterward says he told team officials about discomfort in his shoulder.