"Anybody that thinks we're going to fight is an idiot," the Flames winger said, according to Postmedia's Bruce Garrioch.
Both Tkachuk brothers are known to mix it up physically, but going toe to toe with each other evidently crosses the line. Their father, Keith, who scored 538 NHL goals, hopes he doesn't have to discipline his sons for any extracurricular affairs.
"The brothers should never fight, that's the bottom line," Keith told "The Athletic Hockey Show" on Monday. "There's plenty of guys to fight out there on the opposing teams, so they don't need to fight each other. They're brothers, they're best friends. (My wife) Chantal wouldn't like it and I wouldn't like it."
Both Tkachuk brothers are off to strong starts this season. Matthew's notched 14 points in 20 games for the Flames, while Brady leads the Sens with 15 points and ranks first in the NHL in shots (89) and second in hits (90).
Calgary sits fifth in the North Division, seven points clear of last-place Ottawa.