The Spaniard played in last weekend's 1-1 draw with Liverpool, but was rested for Thursday's clash with Partizan Belgrade in Serbia.
"De Gea will be ready for Sunday but we didn't take a risk with him travelling here," manager Ole Gunnar Solskjaer told reporters on Wednesday.
However, midfielder Paul Pogba will remain sidelined at Carrow Road.
"Paul? No," Solskjaer later added when asked if Pogba could feature against Norwich.