Lyon is just five wickets away from becoming the first Australian offspinner to claim 200 test victims and is keen to gather further insights from the Sri Lankan great, who worked briefly with him as a consultant bowling coach in 2014.
He said a renewal of that relationship would deliver benefits when bowling in the Sri Lanka series.
"(Mentor) John Davison and myself were recently talking about a few comments that he (Murali) said about how you should be bowling over on the sub-continent,” Lyon told the Cricket Australia website in Brisbane.