The Canaries head to Liverpool bouyed by the 1-0 home win over Crystal Palace, which lifted them up to 14th place following a second victory in three Barclays Premier League matches at Carrow Road.
However, if Norwich are to steer clear of being embroiled in a season-long battle for survival, then form on their travels must improve, with some 17 defeats from the 25 league matches since Hughton took charge - including a 7-0 mauling at Manchester City last month.
"We want to make amends because apart from a very good performance at Stoke, we have been dissapointing away from home," said Hughton, whose side were thumped 5-0 at Anfield in January.
"This is a game which arguably they do not come much tougher than, but it is another challenge for us.
"Our away form needs to improve, and there is no better opportunity than the next opportunity."
Norwich's last win at Liverpool came way back in April 1994, with a fine strike by Jeremy Goss in front of what was the last match for the old Kop stand.
Midfielder Jonny Howson, though, sees no reason why the Canaries should not add to Liverpool's worries after they lost at Hull on Sunday to slip further behind the leaders.
"Liverpool have obviously got off to a very good start this season and they have been very impressive, but fair play to Hull - I think it shows that on any given day these upsets can be achieved," he said.
Depsite the battling win over Palace, Norwich remain in need of the points at the other end of the table.
Summer signing Gary Hooper scored what proved to be the winner, despite a somewhat nervy second half against the Eagles and their new manager Tony Pulis.
Hughton feels the former Celtic frontman has shown his £5million switch back south was justified as he continues to lead the attack without record signing Ricky van Wolfswinkel, who has a toe injury.
"Gary came here to prove he could score goals in the Premier League," said Hughton of the former Southend and Scunthorpe forward.
"I have been impressed by his work outside the box. He has what I regard as classic centre forward movement.
"When you get the ball into good positions you can tell he is someone used to playing up top and scoring goals.
"I read one of Gary's quotes after the game when he said at Premier League level you get less chances and no disrespect to Celtic, but in that league he would be used to getting numerous chances.
"It is tougher here and you have to try and make sure your percentages are higher.
"He is now in the team and having a run of games and getting fit and stronger.
"We need to make sure that we provide him with opportunities to score goals like we did on Saturday."