Campbell has 208 tackles and 21 sacks in 63 career games with the Cardinals.
"We've made no secret of the high regard in which we hold Calais," said Cardinals general manager Rod Graves. "To be clear, reaching a long-term deal that will keep Calais with the Cardinals for years to come remains our primary objective. This move today allows us the opportunity to continue working with Calais and his agent toward that goal and that's exactly what we will do."
If Campbell receives an offer sheet from another team, the Cardinals can match it or receive two first-round draft picks as compensation.