The incident occurred late in the third period of Wednesday's game between the Avalanche and Blackhawks. Landeskog checked Dach into the boards as he dumped the puck into the zone.
There was a scrum after the hit and Landeskog was sent to the dressing room with boarding and roughing minors.
Landeskog has been suspended three times in his career but he is not considered a repeat offender because his last incident was beyond 18 months ago. However, a player's past history may come into consideration when determining discipline.
In 2011, the 28-year-old was given two for an illegal check to the head on Boston Bruins forward Brad Marchand. During the 2016-17 season, he was suspended three games for cross-checking to the head of Anaheim Ducks forward Simon Despres. He was then handed four games in 2017 for a cross-check to the head of Calgary Flames forward Matthew Tkachuk.