Coach Jason Garrett said Smith was checked out again Monday after he was unable to finish the 28-17 win against the Kansas City Chiefs
"We'll see how he feels when he comes in [Tuesday] and how to proceed during the week," he said.
Smith has not practiced on a Wednesday over the past month because of the back tightness that has crept up occasionally since training camp. He was also dealing with a hip strain. He missed two games last season with a back injury that Garrett has said is not related to the tightness he has dealt with since the summer.
Dez Bryant is dealing with ankle and knee injuries, but Garrett said the receiver will be "day to day." After the game, Bryant said he felt OK, but he was not able to play the last half of the fourth quarter. When asked about the knee injury, which limited Bryant in practice two weeks ago, Garrett said, "we don't think it's anything significant."
In 2015 and '16, Bryant missed 10 games due to foot and knee injuries.
Defensive tackle Brian Price will undergo surgery Tuesday on his knee and should be placed on injured reserve, according to Garrett. The Cowboys aren't sure how they will fill Price's roster spot at the moment, but Lewis Neal could be called up from the practice squad.