The Premier League side are in talks with Inter over a deal for the playmaker, having already seen one bid rejected.
It was fully expected that an £8million deal would be agreed between the two clubs - but the player has cast some doubt of whether he wants to actually make the move to Anfield.
Coutinho says he is happy with the young squad at Inter and wants to impress coach Andrea Stramaccioni.
"The Liverpool offer? I'm happy with these offers, because it means I am doing my job well," he told Sky Italia.
"But I think Inter have faith in me and I want to show my value here. I don't feel that I'm on my way out. I hope to stay at Inter
"The young players, feel the faith of the coach and of the club: me, Juan Jesus, Benassi, Bessa and the others."