The Liverpool manager is expecting the Brazilian to kick on after signing his new contract.
The Brazilian penned fresh terms at Anfield on Tuesday, meaning the 22-year-old is now tied to the club until at least 2020.
His previous deal had seen him contracted until 2018, but the Reds were keen to give him an extended and improved agreement as they seek to tie down several of key men on a long-term basis.
Coutinho’s importance was in evidence during the recent win over West Ham United, as he helped to set up both goals in the 2-0 victory. Now his manager, who has also expressed his delight at the news of the player signing a new contract, believes the playmaker can play a key role for the club in the future.
"I'm delighted that Philippe has committed his long-term future to us; he is clearly going to be a big part of our story in the years to come," the manager told Liverpoolfc.com.
"The most exciting thing isn't just how good he is now, it's the further improvement he can make in his game. In terms of potential, he can still become even better.”
Coutinho has proved an inspired signing since his move from Inter Milan for £8.5m two years ago and his manager also believes that the South America can act as inspiration for the other young professionals at the club, singling out the player’s personality and dedication to the cause for praise.
"He has shown resilience in adapting to the environment and has embraced everything we have asked of him," added Rodgers.
"I love working with players like Philippe; he has an attitude to match his talent, but underlying all of that is a humble approach to his work and his life. It is my hope now that he continues with his improvement and development and becomes a figurehead for this exciting, vibrant, youthful squad of players.”