Ahead of World Cup qualifiers last week the 26-year-old gave an interview in his homeland which appeared to suggest he would listen to offers from Champions League clubs.
The Reds' managing director Ian Ayre was quick to dismiss the comments as getting lost in translation but Rodgers claims he paid them no attention.
"I haven't spoken to Luis yet. He was back late yesterday (Thursday) and we just ran the medical team over him and he trained this morning," 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."
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