Liverpool took another step towards a first league title since 1990 after winning 3-2 at Norwich City on Sunday to pull five points clear in the Premier League.

Quick-fire early goals from Raheem Sterling and Luis Suarez put the visitors in control at Carrow Road, before Gary Hooper replied for fourth-bottom Norwich in the 54th minute.

Sterling appeared to have made the points safe with a deflected shot minutes later, but a late Robert Snodgrass header obliged Liverpool to endure a nervy last 10 minutes.

It was Liverpool’s 11th consecutive league victory and means that they are guaranteed to qualify for next season’s Champions League, but Brendan Rodgers’s side now have a bigger prize in their sights.

They need seven points from their remaining three games to win the league and can eliminate Chelsea from the title race by winning at home to Jose Mourinho’s side next weekend.

Chelsea’s shock 2-1 defeat at home to Sunderland on Saturday, coupled with Manchester City’s draw against the same side in mid-week, had given Liverpool a huge opportunity to stamp their authority on the title race.

Suarez made it 2-0 in the 11th minute, steering a delightfully weighted left-foot cross from Sterling into the bottom-right corner.

It was the Uruguayan’s 12th goal in his last five appearances against Norwich and made him the first Liverpool striker to score 30 league goals in a season since Ian Rush in 1987.