Rice and Michail Antonio struck for the 2-0 win.
He later said, "It feels amazing, incredible. Last year we worked so hard to achieve this and we didn't want to let the fans down tonight.
"We knew we had a tough game to come out here for the first one, and we had to get the three points for ourselves, but also for the travelling fans. They've been amazing.
"We felt we were in control. In the first half they sat behind the ball and it was a case of keeping the ball moving. Mich pounced on a mistake and made a great finish.
"Then in the second half I read the pass and pounced on the mistake as well. Two mistakes and they get punished and we walk away very happy tonight."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!