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"We're a tight group, so we're always in contact with one another," Tkachuk said, according to The Canadian Press.
Two unnamed Senators players were separately diagnosed with the coronavirus in the days after the NHL shut down operations March 12 amid the worldwide pandemic. Gord Wilson, a member of the club's radio broadcast crew, also tested positive.
"All of us are concerned about (the Ottawa players) and everybody impacted by it," Tkachuk said.
Two players on the Colorado Avalanche have tested positive for COVID-19, the only other known cases to date among NHL players.
Before the NHL's pause, the Senators held a 25-34-12 record, with Tkachuk chipping in 21 goals and 23 assists across 71 games in his sophomore season.