The teenager is spending the year away at Ewood Park on-loan.
A senior player told Football Insider that Elliott was "the best 17-year-old I've ever seen" and believes he will have “unreal career".
Veteran Stewart Downing has called the teenager the team's "go-to man".
Liverpool No2 Pep Lijnders says: "I miss him! I would have loved to continue working with him. But it's a good decision of course because he can play many games and he can show what he's really about.
"I think he's doing that, he's impressing everyone. For us and for me, it's not a surprise – if that's here, there or wherever, he will surprise and show what he can bring.
"It says a lot that he didn't need a lot of time to adapt because he has this overview, this technical level, this maturity for his age is unbelievable.
"At the same time, the constant threat of the final pass and the dribble and the shot. We miss him, to be honest, we really miss him. We wish he were here with us."