Having cruised to the title last term 20 points ahead of rivals Rangers, Neil Lennon's side will be hoping to improve upon their poor showing in Europe last season, during which they were dumped out of both the Champions League and Europa League at the first hurdle by Braga and FC Utrecht respectively.
They face the Swedish champions away in the first leg on either August 21 or 22, with the return at Celtic Park on August 28 or 29.
Elsewhere in the Champions Route, Belgian powerhouse Anderlecht meet Cypriot titleholders AEL Limassol, Basel take on CFR Cluj, BATE Borisov play Hapoel Kiryat Shmona and Dinamo Zagreb face Maribor.
|BATE Borisov||v||Hapoel Kiryat Shmona|
In the League Route, Italian outfit Udinese meet Liga Sagres team Braga while Bundesliga representatives Borussia Monchengladbach take on Dynamo Kiev and Malaga face Panathinaikos.
Furthermore, Russian giants Spartak Moscow will have to deal with Fenerbahce, with 2010-11 Ligue 1 champions Lille awaiting a tie versus Copenhagen.