Celtic defender Auston Trusty was drawn into the opposition half for a duel with Bowie and as the hosts worked the ball into the middle, Nectar Triantis drove forward and slipped the ball into the space left by the out-of-position centre-back, allowing Campbell to dart in and drill low past the exposed Kasper Schmeichel from just inside the box.
The Hibs manager, David Gray, made three changes following Sunday’s 0-0 draw at St Mirren, with midfielder Nathan Moriah-Welsh given his first start in six months and striker Kieron Bowie starting his first match for the club after being plagued by injury since joining from Fulham last summer.
Brendan Rodgers responded by making a triple change for Celtic at the start of the second half, reverting to the team that started in Munich with Schlupp, Hatate and Jota on for Taylor, McCowan and Idah.
The hosts - who had not lost since their previous meeting with Celtic on December 7 - threatened a second in the ninth minute when Bowie saw ferocious shot beaten away by Schmeichel from 15 yards out.
The visitors got themselves back in the game in the 68th minute when Smith was slow to react after Hatate sliced his shot from the edge of the area up in the air and as it dropped towards the six-yard box Maeda nipped in to the prod the ball beyond the hesitant keeper.