Speaking on the sidelines of the 19th Arab heads of state summit in the Saudi capital Riyadh, Erdogan told reporters there could be positive developments in the crisis.
It was possible that Turkish diplomats might be allowed to meet with the British captives, he said following a meeting with Iranian Foreign Minister Manouchehr Mottaki.
In another development in the crisis, British authorities released what they said was incontrovertible proof that the 15 sailors and Royal Marines seized by Iran last week were in international waters at the time of the incident.
The service personnel had been searching a small vessel well inside Iraqi waters at the time they were abducted, British officials said.