Last week, when Peverley did not make the team's trip to Columbus, Dimeff said the player felt sluggish from the Stars' previous game. Doctors altered the dose of his medication, and he played in two home games before his collapse Monday night.
It's unclear how long Peverley has had heart issues. Dimeff speculated that it's possible Peverley played in last year's Stanley Cup finals for Boston with the condition.
The Stars played at St. Louis on Tuesday night, winning on captain Jamie Benn's goal in overtime. Coach Lindy Ruff texted Peverley to let him know the Stars won. His response, according to Ruff: "Keep rolling, and we'll see you tomorrow [Wednesday]."
Teammate Alex Chiasson didn't feel well after witnessing the event Monday and did not play in the Stars' win in St. Louis. Ruff said Wednesday that Chiasson has skated and feels good. The coach believes Chiasson will play Friday, the Stars' next game. As for the conclusion of Monday's game following Peverley's collapse, the league will decide if it will need to be completed.
Peverley was diagnosed with an irregular heartbeat before the season, thanks to an EKG taken during his physical. He underwent a procedure to address the issue and debuted with the club on Oct. 5. He played in 62 games this season, with seven goals and 23 assists.
He joined the Stars before the 2013-14 season as part of a trade that brought Tyler Seguin from Boston.
Peverley has played in 442 games in all or parts of 10 seasons with Nashville, Atlanta, Boston and Dallas. He has 241 points -- 84 goals, 157 assists.
Information from The Associated Press was used in this report.