The winger struck twice in the 5-1 rout.
"Everyone is buzzing," Sterling told liverpoolfc.com. "We're delighted we got the three points and we're really happy.
"There's a massive belief in the team, but we're just taking it step by step and each game that comes.
"We're just trying to get the three points. That's what we did today, and we'll just go again against Fulham on Wednesday and then Arsenal on Saturday. We'll take it step by step and hopefully we can be right up there at the end of the season."