The Reds striker was quoted as saying he would be willing to talk to a Champions League club at the end of the season when interviewed while on international duty this week, but Rodgers isn't concerned.
"I haven't spoken to Luis yet. He was back late on Thursday and we just ran the medical team over him and he trained on Friday," he said.
"All I am aware of is we have an outstanding player who has given everything for the club and he is very happy here.
"Every time he goes away, there is always something. I always say to players I have a simple rule: when you are with Liverpool just talk about Liverpool and when you are away with your international team concentrate on your international team so there is no drama.
"So what he says when he is with Uruguay is of no great relevance to Liverpool."