Coutinho has been a huge hit at Anfield since joining the Reds from Inter Milan in an £8.5million deal 18 months ago.
The 22-year-old Brazilian is contracted to the Merseyside club until 2018, but Rodgers wants to extend that and hand him a significant increase on his wages.
“A new contract for Philippe is something we will look to do over the summer,” said Rodgers, speaking after his team's friendly defeat to Manchester United in Miami.
"It’s all in hand. He’s certainly on that list. He’s a valuable player and a great asset to the club. He’s come in here and shown his quality, and really developed as a young player.
“Now he’s moving into the best years of his life as a footballer. He’s 22 and hopefully by the time the next World Cup comes around he will be an important part of the Brazil team, I’m sure his best years will be at Liverpool.
“He came back to pre-season with a great level of fitness – right on the limit of his weight.
“He’s in great condition, clearly worked hard in the off season and since he’s come back we’ve seen in the games how strong and aggressive he is.”
