Blake was cut by a skate midway through the third period in Friday's 1-0 win over San Jose. He needed sutures to close the wound and will undergo surgery to have tendon damage repaired on Monday.
"Jason is resting at home and doing very well," said Ducks general manager Bob Murray on Saturday. "This was an unfortunate, freak accident, but we are pleased to hear that Jason is expected to make a full and complete recovery. He's a real character person and teammate, and we look forward to having him back in our lineup when he's ready."
Blake has not registered a point in three games this season. He scored 16 goals and added 16 assists for 32 points in 76 games for the Ducks last season.
The 38-year-old Minnesota native has 206 goals and 268 assists for 474 points in 829 career games with the Kings, Islanders, Maple Leafs and Ducks.