Suarez has made it clear that he wants to leave Anfield this summer and declared last week that it was written in his contract that he could move on if the club failed to qualify for the UEFA Champions League.
Liverpool denied there was such an agreement and insisted the striker would not be sold, having previously turned down a bid of £40m + £1 from Arsenal.
Reds boss Rodgers has made Suarez train on his own and demanded that he apologise to his team-mates, after criticising the player's attitude and accusing him of going against the club's values.
However, Paris St Germain forward Cavani has given his backing to his fellow Uruguayan by saying that he had an opportunity to go to Juventus last season but instead stayed with Liverpool.
"The Liverpool coach can talk about loyalty and disrespect but maybe he needs to look up what it means," Cavani is quoted as saying in The Sun.
"Luis had the chance last year to join Juventus, who went on to win the league in Italy.
"But he chose to stay with Liverpool. That's what you call loyalty.
"I've known about his agreement with Liverpool and understood that he would be leaving if they were not playing in the Champions League."