Reina has failed to impress at Anfield since Rodgers took over as manager at the club.
The Sunday Mirror reports that Rodgers has given Reina until January to show he can fit into the new Liverpool.
Reina has been a key player for the Reds since joining the club from Villarreal for £6million in 2005.
But the Spaniard has made a disappointing start to the season.
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!
Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?