Beverley is expected to suit up opening night versus the Lakers despite tweaking his calf.
George is recovering from surgeries to repair a partially torn tendon in his right shoulder and a small tear in his left labrum. He is not expected to make his season debut until the middle of November.
Fournier is battling back spasms, and it is unknown if he will be ready for the season opener against the Cavaliers.
Fultz will miss an undetermined length of time while recuperating from thoracic outlet surgery to his shooting shoulder.