The 21-year-old midfielder is currently out on loan with Norwegian outfit Stromsgodset, and he impressed during his first match of the new season, putting in a man-of-the-match display in front of watching Manchester City development executive Patrick Vieira.
Arsenal, Spurs, Liverpool, West Ham, West Brom and Everton are all thought to be interested in the youngster, who's found his first-team chances limited at the Etihad Stadium.
He's highly-rated in Manchester, but with his contract expiring at the end of next season, Ibrahim has admitted he'll consider his future once he returns from Norway.
Speaking to Sky Sports, Ibrahim said: "I am happy with the way that the season has started and it is nice to hear Patrick Vieira was here to watch me.
"I want to continue improving and remain focused on my game and we will see in the summer what Manchester City plan to do with me."
The report claims Ibrahim impressed Vieira during Stromsgodset's 2-0 win over Sandnes Ulf.
Ibrahim is a Norway under-21 international, and he's currently on a second loan spell with the Norwegian club. So far, he's only made one Manchester City league appearance.
Manchester City's stacked squad has made it difficult for youngsters to break through, but the defending Premier League champions are reportedly committed to improving their academy, including a £200m investment at the Etihad Stadium complex.
But it seems several of their Premier League rivals, including Arsenal, Tottenham and Liverpool - all potential competitors for a top four spot - have their eye on Ibrahim.