He has rejected several offers from Championship clubs to return to Stromsgodset on loan.
The Norway Under-21 international has been told he can leave the Etihad Stadium by Roberto Mancini.
And Ibrahim will sign with the Norwegian side on a temporary basis until June 30.
The 21-year-old recently returned from another loan spell with Stromsgodset, where he scored three goals in 11 appearances.
Ibrahim is highly-rated at City, but his first-team chances have been hugely restricted.