However, two of the results were false positives, Basu reported Monday. It's unknown whether those players have been cleared to skate with the team.
The players can't be identified, as the NHL and players' association agreed to prohibit teams from disclosing injuries and illnesses during the restart.
Canadiens defenseman Karl Alzner opted out of the restart plan Saturday. Any player who wishes not to participate can opt out without facing any punishment so long as they inform their teams by Monday afternoon. However, Habs forward Max Domi - who is at risk due to Type 1 diabetes - has been given a 7-to-10-day window to decide whether or not he'll suit up during training camp.
The league announced 43 NHLers have tested positive since Phase 2 began June 8, though it is unknown if the Canadiens players were included in the total, Basu adds.
Training camps for all 24 clubs participating in the league's expanded playoffs are set to open Monday, with games in Toronto and Edmonton beginning Aug. 1.