Courtney Kunichka scored an even-strength goal for Buffalo at 12:14 of the second period with Maddie Elia and Corinne Buie assisting.
Connecticut tied it with 1:57 left in the second on a goal by Juana Baribeau.The shots were even at 8-8 but there was no scoring in the third period.
Scamurra, the second Buffalo shooter, beat Whale goalie Sydney Rossman. Leveille then turned back shots by Meghan Huertas and Kelly Babstock of the Whale to clinch the victory, the fourth in a row for the second-place Beauts (6-4-0, 12 points).
Connecticut had 32 shots on goal to 31 for the Beauts.
Buffalo, second in the NWHL standings, will be home against the Boston Price at 1:30 p.m. on Saturday at HarborCenter.
First place Metropolitan Riveters (9-0-0, 18 points) won 5-1 at Boston (2-5-2, 6 points) on Saturday night and will face the Pride again today in Newark, N.J.