The move comes the same day of what was supposed to be the only live practice of the bye week for Dallas. The practice was canceled because Pittsburgh announced a positive COVID-19 test for tight end Vance McDonald on Monday, a day after he played 24 snaps against the Cowboys.
Crawford's addition means Dallas has two players on the COVID-19 list. Quarterback Andy Dalton has been on it almost two weeks.
Dalton was supposed to start last weekend against Pittsburgh. Instead, Garrett Gilbert was the fourth starting quarterback in a span of five weeks for the Cowboys. Star Dak Prescott is out for the season with a broken ankle.