UConn’s quest to become the first Division I women’s basketball team to win four straight national titles will feature some early-season traveling.

With the Huskies opening at Ohio State and playing their first American Athletic Conference game at Cincinnati on Dec. 30, the 2015-16 season will mark just the fourth time in coach Geno Auriemma’s 31 seasons that UConn will play true road games in the season and conference openers.

The last time the rare double-double took place was in 1999-2000 when the Huskies won the second of their record 10 national titles.

Auriemma and Deb Corum, the Huskies’ senior women’s administrator, worked to build as challenging a nonconference schedule as possible with UConn winning the 18 regular-season AAC games last year by an average of 48.7 points.

The Huskies will meet the other three 2015 Final Four teams, hosting Notre Dame on Dec. 5, playing Maryland at Madison Square Garden on Dec. 28 and visiting South Carolina on Feb. 8.

In addition to Ohio State, led by sophomore guard and NCAA scoring champion Kelsey Mitchell, there will be another early-season road trip with a Nov. 30 game at Chattanooga followed with a game at DePaul on Dec. 2. The other nonconference road game will be a Dec. 9 contest at Colgate, which will serve as the homecoming game for two-time national player of the year Breanna Stewart. Another highlight of the nonconference schedule will be a Dec. 11 game against Florida State, likely to be ranked in the top 10 in the preseason polls, at Mohegan Sun Arena.

South Florida, led by senior guard Courtney Williams, is the closest thing the Huskies have to a rival in the AAC. There will be at least two games with the Bulls — the Huskies play at USF on Jan. 10 and end the regular season with a Feb. 29 game against USF at home.

If the Huskies dominate as expected, they likely won’t need to leave Connecticut in the postseason until the Final Four in Indianapolis. Mohegan Sun Arena will host the AAC tournament, UConn would host the first and second rounds in the NCAA tournament and there is a regional at Webster Bank Arena in Bridgeport.