Jayantha Dharmadasa, the head of Sri Lanka Cricket, said that he spoken with Moody and that the former Australian international had said he would consider renewing his contract.
"His contract expires at the end of May and he told me that he would have further talks with us at the end of the World Cup", the Sri Lankan cricket chief told AFP on Sunday.
Dharmadasa said that Moody, who started coaching Sri Lanka in 2005, had been able to motivate the local players better than any other foreign coach.
"Tom's results have shown that Sri Lanka had done remarkably well under him. The players who had usually been happy not losing are now hungry for success and they have won quite a few", Dharmadasa said.
Sri Lanka thrashed England 5-0 in the one day series last summer and drew the Tests 1-1. In December last year they drew 1-1 in Tests against New Zealand, also drawing the one day series 2-2.
Dharmadasa said these results achieved overseas demonstrated Moody's good work as previously the Sri Lankans were known as a team who could only win at home.
Previously, Dav Whatmore, Bruce Yardley and John Dyson -- all Australians -- have coached Sri Lanka at different times.