The Citizens are set to refresh their squad after a miserable first half of the season.
While they are still in contention for a top four finish, City are struggling in the Champions League and will not contend for the Premier League title.
Per Sky Sports, the Etihad Stadium club are trying to secure a deal for around €50-€60 million (£41-£50 million).
Eintracht are said to want a higher sum, given the deal is being done in the middle of the season.
But the Egyptian wants to move and show that he can shine in the Premier League.