A team source told NFL Network's Michael Lombardi that if Ware is able to practice Tuesday, then the linebacker will play against the undefeated New Orleans Saints on Saturday (on NFL Network).
Phillips described the injury as a neck strain.
Ware spent several hours in the hospital Sunday after he was hurt during the fourth quarter of a 20-17 loss to the San Diego Chargers. Phillips said the linebacker went home that night.
Backup safety and special teams player Pat Watkins sprained his left knee on a kickoff return Sunday and will be out at least two weeks. Philips also said tight end Martellus Bennett hasn't been cleared to play after experiencing concussion-like symptoms that kept him out Sunday. Bennett will not play Saturday night.
Ware was hurt while pursing Chargers quarterback Philip Rivers. The three-time Pro Bowl linebacker got around another offensive lineman and then went headfirst into the upper leg of lineman Brandyn Dombrowki. Ware remained on the ground for several anxious minutes, then was immobilized and strapped to a stretcher before being taken off the field.
In October, Ware agreed to a six-year, $78 million contract extension through the 2015 season that included a $20 million signing bonus. The 27-year-old was in the final year of the contract that he signed after being selected with the 11th overall pick in the 2005 draft.
The Associated Press contributed to this report.