The incident occurred when Foles took a hit during the game after being slammed by a Cowboys defender and his head rammed into the ground at speed.
Foles will have to be cleared by doctors before he can practise again for Kelly's side, which could pave the way for starter Michael Vick to return to the lineup from a hamstring injury.
Kelly told reporters: "It's all based on what his health is.
"We've listened to Mike the whole time and we'll continue to listen to Mike. Just cause one guy got hurt that doesn't make another guy get healthy quicker."
The Eagles are 3-4 in their NFC East.