The possibility was broached last week, when Penn had a chance to lock up a share of the Ivy League regular season title for the first time since 1988: Maybe it would be neat for the school to create a banner to celebrate with if the Quakers handled business against Harvard.

Coach Mike Murphy took the idea to his seniors. They nixed it — there are more important things still in front of a resurgent program. And besides, a win last weekend still wasn’t going to seal an outright Ivy title, anyway.

“We’re trying to win an Ivy League championship and go to a final four and win a national championship,” Murphy said this week. “That really hasn’t changed. It’s an eight-step process — six Ivy League games and then two Ivy tournament games. We’re basically on step six of eight.”

The first five steps have gone exceptionally well for Penn (7-3, 5-0), who are already assured of the top seed in next month’s Ivy tournament regardless of how Saturday’s home finale against Dartmouth (2-9, 0-4) unfolds.

The Quakers, who are in contention for their first NCAA tournament appearance since 2014, dropped their first three games to Maryland, Duke and Penn State — with a pair of one-goal losses included. Since then, their offense has blossomed; Penn’s 14.9 goals per game ranks second in the country, and its 26 goals while doubling up Harvard matched a program record.

Penn was just 46th in scoring offense a year ago, and Murphy credits new offensive coordinator Mike Abbott for helping to invigorate that side of the ball. The Quakers also have options. While Adam Goldner’s 39 goals easily lead the team, Sam Handley (23 goals, 21 assists) and Simon Mathias (20 goals, 11 assists) both have 20-goal seasons and nine players are averaging a point a game.

The Quakers call it “selfless pace,” and it’s rapidly set up the possibility of a special season.

“The winning kind of corroborates all of it and justifies it,” Murphy said. “As long as we’re scoring it’s pretty easy to get behind it and get excited about it. Our seniors have both bought it and pushed it down through the entire team. There’s a complete belief in what we’re doing on the field.”

It’s also helped to receive a stroke of luck in the offseason. Penn got that last spring when, unprompted, faceoff specialist Kyle Gallagher e-mailed the Quakers’ staff as part of his search for a new school.

The junior played his first two seasons at Hofstra and has won 60.7 percent of his faceoffs this season.

“We asked a couple other kids on the team who went to St. Anthony’s [on Long Island] and knew him, and the more we looked into it, the more we thought it was a good fit,” Murphy said. “That’s a position we had not been great at over the last number of years. It just kind of dropped in our lap. The fit with Kyle has been tremendous. He’s a good kid and a good student.”

Armed with a deep offense and a faceoff man capable of providing plenty of opportunities, Penn is one of the more intriguing teams in the country as the postseason nears.

But first things first: Collecting the program’s first outright Ivy regular season title since 1984. Maybe then, it’ll be OK to bring out a banner.