Meantime, Arians said that resigning former Cardinal running back Chris Johnson "would be an option".
Johnson will have surgery this week and is expected to miss the next two-to-three months.
Viewing video Sunday, there was no clear mechanism of injury to Johnson other than a direct blow. The next and final time Johnson touched the ball, he fumbled at the Cardinals' 10-yard line.
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Last season, Johnson totalled 1,239 rushing yards and 20 touchdowns.
Coach Bruce Arians said Monday that Johnson's injury was the same as that of Arizona rookie T.J. Logan. Johnson's workload in 2015 was significantly more substantial, as he had just shy of 200 carries for over 800 yards. In addition to being the team's leading rusher a year ago, he was the second-leading receiver behind Larry Fitzgerald.
The Pittsburgh Steelers reportedly fear Tuitt suffered a season-ending biceps injury in the team's Week 1 win against the Cleveland Browns. It wasn't broken, but further tests determined that it was dislocated and he will need surgery.
The Arizona Cardinals began their 2017 National Football League season with a disappointing loss to the Detroit Lions. Without Johnson in the Cardinals backfield, opposing defences will focus on slowing down Arizona's passing game and send even more pressure at Palmer in the pocket.
David Johnson was All-Pro at the newly created "flex" position last season and was second-team All-Pro at running back.