"Tom left for Britain to join his family," K. Mathivanan, secretary of the Sri Lanka Cricket board, told reporters on Friday.
He said Moody, an Australian national, was expected to return to Colombo on May 12 and will then discuss his future with the team and the governing body.
"We will be announcing a decision on Tom's future on May 14," Mathivanan said.
Moody's contract ends on May 31 and he is due to tour Abu Dhabi with the Sri Lankan team for a One Day International series with Pakistan before then.
The former Australia and Worcestershire all-rounder was appointed Sri Lanka's national coach in 2005 succeeding compatriot John Dyson.
His name has been linked with Western Australia, the Australian state side, after his contract with the Sri Lankans expires.
Moody has been reticent about his plans, repeatedly saying that he would discuss them with the Sri Lankan authorities after the World Cup.
Under Moody's tutelage Sri Lankans have had a remarkable run overseas.
They swiped out England 5-0 in a One Day series while drawing the Test series 1-1 in the summer of 2006, and early this year drew 1-1 in Test matches in New Zealand.