Dawson was impressive in the 2-1 win.
"We started superbly but we were a little fortunate in the end," Dawson told the Spurs website.
"That start gave us something to hold on to and we needed that with the way we played in the second half.
"But you can't always have things how you would like them in football.
"Not many teams come here and do what Liverpool did to us. It wasn't our best performance, but we picked up the three points and football's all about that sometimes. We're happy with the win."