The midfielder joined the Reds in January from Inter, scoring two goals and assisting a further two in his first five appearances for the club.
Despite his positive start, the Brazilian isn't content with his early success and says he will continue to improve in the coming years.
"The manager here is still young but he's an excellent person and a very good coach. He speaks openly to everyone and I'm pleased to be working with him," he told the Liverpool Echo. "The games are quicker and more physical but I like that. I am learning all the time."
He added, "Every player wants to improve and get better and I am the same. I am still young and have so much still to learn."
Coutinho has impressed with his stay at Merseyside so far and he admitted that he hopes he can be a legend at Anfield.
"I hope to be here for many years and become a big player for Liverpool. I will continue to work hard and do my best to improve my performances and help Liverpool," Coutinho said.
Coutinho also added that he hopes his successful domestic performances could result in him being called up for the Brazil squad, where he already has one cap.
"It was an honor for me when I was called up the first time," Coutinho revealed. "At the moment my aim is to play well for Liverpool and to learn and develop as much as I can. But I am sure if I play consistently well for Liverpool then the Brazil coach will notice me and I'll be called up for the national team."
Coutinho stated that his dream would be to play in next year's World Cup in his native Brazil.
"The fact the next World Cup is in Brazil makes that extra special. I will try to play as well as I can in order to make the squad," Coutinho stated. "It's my dream to play for Brazil in the World Cup."