Ward allowed one goal in two nights in beating the Columbus Blue Jackets and the Sabres on back-to-back nights. Dwyer scored the game's only goal when he beat Ryan Miller with a sharp-angled wrist shot 2:39 into the second period with Carolina rookie defenseman Ryan Murphy in the penalty box.
"That's three games in a row that we're really pleased with that commitment that the guys are starting to make and understanding that if you do it, you can get success," Carolina coach Kirk Muller said.
Sabres coach Ron Rolston said his team wasn't at its best.
"I thought we were a little flat tonight, especially the first period," Rolston said. "We didn't do what we needed to do on the road and I thought we picked it up for a little better third period, but we just didn't have it."
Both teams are off until they open their seasons against the Detroit Red Wings -- Buffalo is home on Wednesday; Carolina visits Detroit two nights later.