Sharks assistant general manager Joe Will said he predicts Kane will be with their AHL team come Tuesday.
"We just decided that since he's a contracted hockey player, it's the best thing at this time for him to continue to play hockey, and this is the best option for that right now."
Kane has a contract with the Sharks through 2024-25.
The 30-year-old has made headlines for trouble off the ice over the past couple of months. He was most recently under fire for violating the NHL's COVID-19 protocol.
Kane was suspended for 21 games without pay for using a fake COVID-19 vaccination card. His forfeited pay will go to the Players' Emergency Assistance Fund.
Will mentioned on Sunday that Kane is fully vaccinated.
Kane also made headlines when his estranged wife Anna alleged that the NHL player bet on games. In September, the NHL found no evidence that Kane gambled on games.