Humphries stumbled on the turf inside University of Phoenix Stadium early in Tuesday's practice. He left and did not return. The Cardinals, who began holding training camp in their home stadium in 2013, don't move their retractable field completely in and lay down about a 40-yard turf field on the southwest side of the stadium to give them more room to practice.
"It could be 2-3 days, could be a week," Arians said.
Humphries was pushing right tackle Bobby Massie for the starting job after getting picked 24thh overall.
"He's doing very well," Arians said.
Humphries was one of 13 players who Arians said will miss Wednesday's practice.
In addition to Humphries, the injured included TE Ted Bolser (knee), T Rob Crisp (knee), RB Andre Ellington (hamstring), TE Jermaine Gresham (back), RB Marion Grice (hamstring), RB David Johnson (hamstring), TE Troy Niklas (hamstring), LB Shaq Riddick (hamstring), LB Darryl Sharpton (hip flexor), LB Zack Wagenmann (foot), G Earl Watford (ankle), LB Sean Weatherspoon (hamstring).
Arians said "a bunch" could practice Friday but he declined to give individual estimations on return dates.
"There's a couple one-to-two weekers that we'll just go day-to-day with," he said. "We get one to two weeks and all of a sudden a guy is healthy, and then say day-to-day and the guy can't practice. I'm tired of guessing."