The Liverpool striker appeared to clash with Chile's Gonzalo Jara while on duty for Uruguay but his coach insists that he has not seen footage and refuses to discuss it
The forward appeared to aim his fist at the defender's face during Uruguay's 2-0 victory over Chile in World Cup qualifying and could face FIFA sanctions, but the Reds boss was unwilling to comment on an issue which he feels has "no great relevance" to his own job.
"I always say to players I've got a very simple rule, that when you're with Liverpool, just talk about Liverpool," Rodgers told a press conference. "When you're away with your national teams, just concentrate on your international team and there's no drama.
"So what he says when he's away with Uruguay or what the England boys say is very much about England, is of no great relevance to Liverpool.
"I haven't spoke to Luis yet. He was obviously back yesterday and later on in the afternoon, and we just ran the medical team over him.
"He was training this morning, so no I haven't spoken to him.
"Obviously, every time Luis goes away there's always something but all I'm aware is we've got an outstanding football player who's given everything for the club and is very happy here."