Aston Villa and Swansea are reported to be interested in Brewster regarding a loan deal next month.
Brewster is yet to make his Premier League debut for Liverpool, and Klopp said he had been hampered by an ankle injury that kept him out for more than a year.
He told the Liverpool Echo: "Maybe Rhian is the one, age-wise, experience-wise, if he had not been injured, he would already have been on a different level, but that is the situation and we constantly think of the situation for the boys.
"He is very young, but still a bit advanced, but I don't know, we don't make decisions right now. If we do [loan him] then it 100 per cent needs to be the right club.
"They have all made steps here without playing Championship football week in and week out. They have all made massive steps here and Rhian's was delayed because of that big injury he had.
"Neco (Williams), Curtis (Jones) and Harvey (Elliott) have made massive steps here without playing week in and week out. No decision has been made yet [on the loan]."