Norris (finger) was reinstated from the 15-day injured list Wednesday, Jordan Bastian of MLB.com reports.
Norris was on the injured list since June 23 but reported to Triple-A Iowa last week to begin a rehab assignment. He allowed ah unearned run on three hits and a walk while striking out five in three innings over his two rehab appearances and will rejoin the Cubs' bullpen ahead of Wednesday's series finale against the Orioles.