Head coach Mike Gambino won his 300th career game during the series.
The Nittany Lions were automatic qualifiers after clinching the CHA Championship.
A strong second period wasn't enough for Penn State to extend its Big Ten Tournament hopes after a late goal from Minnesota.
Gretchen Gilmore netted the game-winner early in overtime after crawling back from a 4-0 deficit.
Matt Traynor scored seven times on Penn State's way to victory.
The Nittany Lions' losing streak increased to five games in the sweep.