Rossiter was impressive on his third competitive appearance for the Reds in Thursday night's 1-1 draw with Bordeaux.
Former Liverpool midfielder Jan Molby has said in the Liverpool Echo that current Reds youngster Jordan Rossiter will be playing regular football in the Premier League, but it's just a case of how far his career can go.
The 18-year-old seemed to impress nearly everyone connected with Liverpool in last night's 1-1 draw with Bordeaux in the Europa League, and the Dane is confident that Rossiter can kick on from his display in France.
He wrote in his Liverpool Echo column: "His performance against Bordeaux was very encouraging, not least as for most of the game he was acting as the senior member of a central midfield pairing alongside fellow 18-year-old Pedro Chirivella.
"But Rossiter still has some way to go. And that's why we shouldn't put any undue pressure on his shoulders.
"Just let him develop. He deserves to be given the time to bring on his game.
"He will make mistakes, that's what happens with young footballers. Liverpool just have to make sure he is given the chance to progress, because he has already shown he is capable of taking his opportunities when they arise."
The performance of the youngsters in general was promising in France but Rossiter is the stand-out, in part because he is a local boy and fans are crying out for a local hero - given there isn't a Liverpool born player starting regularly for the side.
Of course, at such a young age, they shouldn't put pressure on Rossiter, and it's easy to forget he had a pretty serious injury towards the back end of last season when he damaged his ankle ligaments. So getting over that and trying to develop at the same time is a pretty difficult thing to do, and it's probably of little wonder that he was cramping up prior to his withdrawal.
But if his display in Bordeaux is anything to go by - which was composed and showed he could do the basics very well, as well as bailing out his teammates at difficult defensive moments - then Liverpool should have no qualms about using him in any first team matches this season. It's hard to think there are many doubts, as he was given a cameo away to Arsenal earlier on in the season.
In terms of Rossiter's performance, there's a lot to be encouraged about, and managing his game time and exposure on the big stage is going to be key to his ongoing development. But there is certainly a sense of hope that Liverpool's midfield will have a home-grown core to it in the years to come.