After winning the Southern Regional Championships last Sunday, the team needs to raise $8,000 in two weeks to pay for the flight to either Laramie, Wyo., or College Station, Texas.
And senior Ryan Dahl, the team's president and captain, said some of the rugby players are looking into paid medical surveys as one way to raise money.
"We're looking into anything we can do to get money," Dahl said.
He said they're brainstorming several fund-raising tactics, including seeking donations and planning some type of events on Franklin Street.
Coach Steve Powell, a Raleigh resident, said the players are excited about the April 21 tournament game, which will be against Central Washington University, especially because the Sweet 16 tournament is a first in the club's 35-year history.
"They will be the only No. 1 team from the south region," he said. "They've done enormously well to get this far."
While UNC does not have a varsity rugby team, Dahl said the players will be competing against varsity teams from across the nation.
"Rugby is a bit weird in that about a third of the teams are varsity, and two-thirds are not," he said.
And Dahl admitted it's hard for the team to travel because they are not funded like a varsity sport would be. The team members pay for every expense when they go to away games.