Jose Mourinho names the Portuguese left-back and the Argentine winger in his starting XI for the short trip to the Vicente Calderon, as the Atletico attackers recover from illness
Coentrao is preferred to Marcelo in defence, while Di Maria starts alongside Kaka and Cristiano Ronaldo in a line of three forwards behind lone striker Karim Benzema.
For Atletico, forwards Adrian and Radamel Falcao had been doubtful with flu, but both start the derby in a stong line-up for Diego Simeone's side.
Madrid are just one point ahead of Barcelona, who thrashed Getafe 4-0 on Tuesday, in La Liga but will look to restore their advantage to four units with victory at the Calderon.
Atletico Madrid (4-2-3-1): Courtois; Juanfran, Perea, Godin, Filipe Luis; Gabi, Tiago; Diego, Arda Tura, Adrian; Falcao
Subs: Asenjo, Dominguez, Assuncao, Fran Merida, Pizzi, Koke, Pedro
Real Madrid (4-2-3-1): Casillas; Arbeloa, Ramos, Pepe, Coentrao; Xabi Alonso, Khedira; Kaka, Di Maria, Cristiano Ronaldo; Benzema
Subs: Adan, Varane, Albiol, Granero, Ozil, Callejon, Higuain