The 20-year-old center was hit into the boards by Florida Panthers forward Dryden Hunt during the second period of the Canadiens' preseason opener Wednesday night.
Hunt was assessed a two-minute minor for boarding on the play.
Poehling remained in the contest, however, and assisted on the game-winning goal in the third period.
The St. Cloud State product was selected by Montreal with the 25th overall pick at the 2017 NHL Draft. He scored a hat trick in his first and only NHL contest against the Toronto Maple Leafs last season.