General manager Pierre Dorion said Monday that Norris will undergo shoulder surgery and miss the rest of the 2022-23 season.
Norris returned to the lineup last Wednesday after missing 38 games with a shoulder injury.
He had one goal and two assists in eight games this season.
The 23-year-old center had 55 points (35 goals, 20 assists) in 66 games last season.
The Senators also announced Monday that they have recalled forward Ridly Greig from AHL Belleville.
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The Associated Press