The extent of the injuries wasn't known, though both players managed to get up and climb into a cart to be taken to the locker room.
White got hurt on a punt return in the third quarter. He remained on the field for several minutes.
A few minutes after that, Wood was helped off the field after an interception return by Dallas' Terence Newman.
Wood was tended to on the sideline for several minutes before getting onto a cart.
Kraig Urbik moved from right guard to center on the next possession by the Bills.
By the time both players were hurt, the game was out of hand. The Cowboys dominated en route to a 44-7 win.
Information from The Associated Press contributed to this report.