Slimane has been a key figure in the number 10 role in the recent away wins at Wrexham and West Brom.
Philippe Clement makes one other change to his starting line up from the 5-0 triumph at the Hawthorns.
Jose Cordoba replaces Harry Darling, after the Panamanian international was brought in at half-time last midweek.
New Manchester United loan signing, Harry Amass, is included on the bench but the game comes too soon for Paris Maghoma, who City confirmed as their third January window signing earlier on Monday.
Watch live reaction from our reporters at Carrow Road to the team news
Norwich City (starting XI): Kovacevic; Fisher, McConville, Cordoba, Chrisene; McLean (C), Mattsson; Springett, Slimane, Ahmed; Makama. Subs: Grimshaw (GK), Amass, Stacey, Darling, Wright, Jurasek, Schwartau, Diallo, Kvistgaarden.
Coventry City (starting XI): Rushworth, Dasilva, Thomas, Grimes (C), Mason-Clark,. Wright, Esse, Kitching, Thomas-Asante, Ewijk, Torp. Subs: Wilson (GK), Sakamoto, Simms, Min-Hyeok, Kesler-Hayden, Bidwell, Latibeaudiere, Woolfenden, Eccles.
Referee: Thomas Kirk