Romo was diagnosed with a back contusion after being kneed in the back by Washington Redskins linebacker Keenan Robinson during Monday night's game. He was replaced by backup Brandon Weeden before returning to play in the fourth quarter and overtime. If Romo does play, he will wear additional padding.
Romo was held to 209 passing yards with one touchdown on 17-of-28 passing. He was also sacked a season-high five times as Dallas fell 20-17 in overtime.
According to Rapoport, Romo's playing status will be determined by how well he can handle the pain.
The 34-year-old quarterback had back surgery last December and was limited during the offseason and training camp. During the Cowboys' 6-2 start to the season, Romo has completed 68.2 percent of his passes for 1,998 yards, 15 touchdowns and six interceptions.
Cowboys coach Jason Garrett said owner and general manager Jerry Jones did not force him to put Romo back in Monday night's game after he was injured.
The Cowboys are in first place in the NFC East and host the Arizona Cardinals on Sunday at 1 p.m. ET.
- Paul Palladino