Rossiter has had this season hampered by injury while other younger players have been getting opportunities in recent FA Cup ties.
Rossiter has been on the fringes of the side when he has been available having made a total of four appearances so far this season but injury has prevented him from being more involved - as it's hard to think that he wouldn't have featured in the FA Cup given Jurgen Klopp's selections so far this season.
The 18-year-old told the official Liverpool website: "I think I've been out around eight weeks now, but I'm hopefully looking to be running around the next two weeks. It's been frustrating but hopefully there are better things to come soon.
"I picked up a hamstring injury in October which kept me out and I was back fit for two weeks, but to pick up another injury has been frustrating.
"Hopefully it all turns around soon and I get a bit of luck."
In his absence, there have been three FA Cup games for some of the fringe players to perform with Cameron Brannagan and Kevin Stewart among those who are impressing - and they gave a very good account of themselves in a 0-0 draw against West Ham at Anfield - and could be in line for another opportunity in the replay at the Boleyn Ground on Tuesday.
Sheyi Ojo, Ryan Kent, Brad Smith, Jerome Sinclair and Joao Carlos Teixeira have all been among those getting first team opportunities as a result.
"It's great to see and everybody's playing well when they've had the chance.
"The likes of Cameron Brannagan, Connor Randall, Kevin Stewart, it's great.
"So I know my chance is there when I do get back and I'm made up for the lads, they've done brilliantly when they've played. I couldn't be happier for them."
It's a shame that Rossiter hasn't been able to really kick on in his development this season because of a couple of injuries, but he will be hoping to force himself back in Jurgen Klopp's plans.
The teenager's contract runs out at the end of the season, and according to the Liverpool Echo in December he had been attracting interest from elsewhere - including Premier League sides Tottenham and Manchester City - though Liverpool have a recent track record playing hardball with younger players and retaining their registrations.
But given the local connection, there is hope, certainly from the supporter side of things, that one of their most promising prospects is handed a new deal and get on with trying to impress manager Jurgen Klopp next season, as well as any game time he'd get this term.