The game's only goal came 15:20 into the match, when Virginia's Katie Nicholson took pass from Cara Unterkofler and tipped it past UNC goalkeeper Amy Tran.
On Saturday, the Tar Heels fell to No. 8 James Madison 4-3. UNC built an early 2-0 lead, but the Dukes tied the score at 2 just before halftime.
James Madison took the lead for good in the 45th minute with a goal from Carrie Phillips, and added another in the 50th minute from Elize van Ballegooie.
UNC's Karen Mann pushed a rebound past JMU goalkeeper Kiernan Raffo with seven minutes to play, but the Tar Heels could not get any closer.
Women's Soccer Outlasts Clemson
CLEMSON, S.C. -- It has not been an easy week for the No. 1 North Carolina women's soccer team.
After losing to N.C. State 2-1 on Thursday, the Tar Heels needed double overtime Saturday to defeat 19th-ranked Clemson 2-1.
North Carolina midfielder Lori Chalupny scored the game-winning goal at 106:51, lifting the Tar Heels to 11-1-2 (1-1 in the ACC). Clemson fell to 8-5 (2-2).
"When you win a game like that you have to have a little luck," said UNC coach Anson Dorrance.