Armstrong said he'll also explore potential replacements for Berglund in free agency, which starts July 1, but said it's more likely the spot is filled from within.
"We're always looking to see if we can get creative maybe," he said. "We're talking to some potential free agents, but I don't want to get anyone's hopes up that there will be a lot of change to this roster."
It's the second time in three seasons Berglund will miss the start of a season because of a shoulder injury. He had surgery on his right shoulder in August 2015 and was out the first three months of the 2015-16 season.
Selected by the Blues with the No. 25 pick of the 2006 NHL Draft, Berglund has 296 points (151 goals, 145 assists) in 637 games. He had a personal NHL-best 23 goals this season.