Coutinho has been a first-team regular since his move from Inter Milan in January 2013, scoring eight times in 50 appearances for the Reds.
Speaking after Liverpool’s 3-1 defeat to Manchester United in a pre-season friendly in Miami, Rodgers confirmed the club have put a new deal for the 22-year-old on the table.
“I am not sure when it will be done. I haven’t spoken to any of the directors in the last few days so I am not sure where we are on that, but obviously he is someone we want to tie up for a period of time,” he is quoted in the Daily Mail as saying.
“I am sure I will hear more about it when I get back on Tuesday.”
One player continuing his form of 2013/14 this summer has been Raheem Sterling and Rodgers was delighted with his performance against Man United on Monday night.
“I thought he was outstanding and was a real threat,” the 41-year-old Northern Irishman told press. “Raheem is tactically aware for such a young player and is so exciting to watch. When he runs at defenders he creates many opportunities.
“At 19 years of age he is a real talent and is getting better all the time.”