Cave remains in a medically induced coma at Toronto's Sunnybrook Hospital.
The 25-year-old's condition is not related to the coronavirus, his agent, Jason Davidson, told Sportsnet's Mark Spector.
Cave played 11 games for the Oilers before the season was postponed. He's spent the majority of this campaign with the AHL's Bakersfield Condors.
The forward, who's been with the Oilers for parts of the last two seasons, played in the Boston Bruins organization for five years to begin his career.