The Scotland international joined the Reds for £6.75 million from Blackpool last summer and made 28 Premier League appearances last season, scoring two goals.
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He has frequently been mentioned in connection with a departure since Rodgers took over as manager but the Northern Irishman has revealed that he tried to sign Adam during his time at Reading.
"Charlie was brought in for a lot of money after a terrific time at Blackpool," Rodgers told reporters.
"Last season was a wee bit broken in terms of injury but he has trained well in pre-season and will play against Hearts. He's a talent - everyone knows that - and he played well in the last Scotland game.
"You never forecast anyone's career and all I can talk about is the here and now. At the minute he's working hard and looking to fight for a place.
"I actually tried to buy Charlie when I was manager of Reading so where these stories come from, I don't know."