Ellington was scheduled to fly to Philadelphia on Monday, where Dr. William Meyers will conduct the procedure.
Arians said the injury Ellington suffered last weekend in Dallas is more of "some form of a" hernia than a hip pointer like originally announced.
Ellington's injury-plagued second season ends with 1,055 all-purpose yards -- 660 rushing and 395 receiving. He had three rushing touchdowns and two receiving scores.
Ellington's season began and ended with an injury. He suffered a torn tendon in his left foot the week before Arizona's season opener, and he dealt with a hip flexor issue before last week's injury.
The Cardinals signed veteran safety Chris Clemons to fill Ellington's roster spot.