But Brewster has been impressive for the youth teams, scoring four times in seven Premier League 2 games this campaign.
And numerous teams have been linked with bringing in the teenager on loan, with Liverpool apparently ready to let him leave.
The Echo reports, however, that only if Palace guarantee he will receive game time, will he be able to head to Selhurst Park.
Brewster is still viewed as part of Klopp's long-term plans, but is unlikely to feature any time soon in the first team.
Rhian Brewster has only played for the first team in the EFL Cup (Image: GETTY)
And the youngster recently revealed that he had spoken with the boss over his future, and been reassured by what he heard.
“Be patient and you'll play," Brewster said when asked about what Klopp told him over his game time.
”Wait for your time and hopefully it'll come.
"My relationship with him is very, very good. He's easy to approach and easy to talk to.
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Rhian Brewster could be on his way to Crystal Palace (Image: GETTY)
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“I think you need a manager like that.
"You can't think it's easy and you're just going to get there with your talent, because you need to work hard as well.
"I've seen a lot of people with talent but not everyone makes it because of the attitude and the drive."
Aston Villa, Leeds and Swansea have also been credited with interest in Brewster.