Talks were under way with Moody about taking over the job after Dyson's term ended last month, officials said on Wednesday.
Sri Lanka's cricket administration is in crisis after the government last month sacked elected office bearers of Sri Lanka Cricket (SLC), the governing body of the sport, citing financial mismanagement. They were replaced with an "Interim Committee."
A court battle is also under way for the control of the island's richest sporting body.
Moody is currently coaching the English County Worcestershire.