Ancelotti remains without the services of Jude Bellingham, who missed Sunday's win over Real Valladolid after he sustained a muscle injury in training last week.
Bellingham has been ruled out until after the international break and is joined on the sidelines by defender David Alaba and midfielder Eduardo Camavinga.
Jesus Vallejo could also be absent for Thursday's trip to Gran Canaria after being left out of Sunday's matchday squad due to a fitness issue.
Ferland Mendy is available following a one-match suspension and is expected to replace Fran Garcia on the left side of the defence.
Ancelotti could also decide to make an alteration at right-back, with Lucas Vazquez in contention to make his first start of the 2024-25 season.
After featuring as a substitute in the first three competitive games, the experienced Luka Modric may given the opportunity to feature in midfield alongside Aurelien Tchouameni and Federico Valverde.
Brahim Diaz is also pushing for a starting spot after coming off the bench to score the second goal in the 3-0 home victory over Valladolid.
While Rodrygo could drop out of the side, Kylian Mbappe and Vinicius Junior will retain their places in the lineup, with the former looking to open his La Liga account.
Real Madrid possible starting lineup:: Courtois; Vazquez, Militao, Rudiger, Mendy; Valverde, Tchouameni, Modric; Brahim; Mbappe, Vinicius Jr