Jones departed Sunday's contest at New Orleans due to a knee injury.
Jones came up limping after a lost fumble in the red zone late in the first quarter and went to the medical tent before the Vikings deemed him questionable to return. DeeJay Dallas likely will take on No. 1 RB duties for as long as Jones is sidelined, with rookie Demond Claiborne also on hand for reps out of Minnesota's backfield.