The fracture to his finger, however, is yet to fully heal.
Bangladesh resumed their training after the Eid-ul-Azha holidays at the Sher-e-Bangla National Cricket Stadium on Sunday.
After warming up with the rest of the team, the left-handed batsman did some knocking at the outfield.
With the first of three ODIs against Afghanistan just a week away, the team's medical staff are confident that Tamim will be fit before the series kicks off.
"The fracture is still there but I have no problem playing with it. The doctors left [the decision] up to me. If there is no pain during batting, I can play. I had no problem batting today," Tamim said.
The 27-year-old batsman picked up the injury during fielding practice on Aug 27. Later, an x-ray revealed a fracture on his left little finger.