Fox Sports 910's Mike Jurecki originally reported Ellington could be out an "extended period of time" with the injury, but Rapoport reports that he could play on Monday night.
According to Jurecki, Ellington had experienced discomfort in the left foot and then aggravated the injury in practice Thursday. He subsequently underwent an MRI.
The running back was listed as limited in the Cardinals' Thursday practice report.
The 25-year-old Ellington is slated to be Arizona's every-down back this season. In his absence, more carries would likely be given to Jonathan Dwyer, Stepfan Taylor and Robert Hughes.
Ellington rushed for 652 yards on 5.5 yards per carry as a rookie in 2013, adding 39 receptions for 371 yards.
The Cardinals open the season Monday night against the San Diego Chargers.
- Ben Estes