Jackson told WGR radio Monday that doctors gave him that prognosis.
Jackson was hurt in the Bills' 17-16 win Sunday over the Vikings. Fellow running back C.J. Spiller also was carted off during the game after injuring his shoulder. His injury is potentially season-ending.
The Bills will likely have a depleted offensive backfield when they face the Jets on Sunday. Coach Doug Marrone is expected to address the injuries Monday afternoon.