The Sunday Mirror reports that the Merseyside club are wary of taking risks over his future.
Rodgers has two years left on his current contract with Liverpool.
Reports suggest that Rodgers has admirers at Manchester City, Arsenal and Tottenham.
Rodgers won the Premier League Manager of the month for August.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.