The Reds entertain the Magpies at Anfield, in a game which could revive their slim hopes of a top-four finish this season.
But with an FA Cup semi-final against Aston Villa coming up next weekend, the danger is there that Brendan Rodgers’ side take their eye off the ball.
Sterling, though, says that simply cannot happen.
He said: “The semi-finals of the FA Cup don’t come around too often for many players. It will be a dream come true for me, especially being from Wembley as well and growing up there.
“Everyone is really excited to be playing at Wembley; the atmosphere in the camp is really good. Hopefully we can go again against Newcastle, get the result and be fired up for next Sunday’s game.
“It would be a real dream come true. The club has been in and around the trophies in the last few years, we missed out on the league last year.
“Liverpool deserve something at the end of this season - the players are fighting to try to make that dream come true.
“We’ve just got to keep focused and block out the game at Wembley. It’s credit to ourselves for getting there, but now we’ve got to block it, go into the next game against Newcastle and be 100 per cent.
“If we give our best there, anything can happen and it can be a really good week for Liverpool.”
Manchester City’s defeat against Manchester United on Sunday means Liverpool can close the gap to fourth place to just four points, with six league games left after this evening.
Sterling said: “It is probably a bit harder than it was a few weeks ago. We were really close to it, but this is football and anything can happen.
“The teams in front of us could drop points and we can win games - that’s football and is probably the best thing about the Premier League.
“We’ve just got to make sure we keep on our game week in, week out, try to drop as few points as possible and hopefully the teams above us slip up in a few games. I know that in the run-in, we’ll definitely be right up there.”
He added: “There’s a good atmosphere in the dressing room. Obviously there were two disappointing results in the league before that.
“But it was really good the way the boys picked themselves up and you could see the performance on the pitch - everyone was running for the team and really wanted to get into the semi-finals. It’s a real credit to the boys how well they did on the night.
“You’ll see everybody really fired up. That’s not to say they haven’t been fired up all season, but it’s given everybody a real lift. In the changing room afterwards, it was a really pleasing feeling for everyone - everyone was really excited.
“On Monday, everyone will be really up for it knowing they’re one step closer to doing what we want to achieve in the FA Cup.”