European air navigation providers are recommending re-opening of airspace and the resumption of flights by 08:00 tomorrow.
The recommendation has been put forward during an operational teleconference involving air traffic control providers today, says air navigation services organisation CANSO.
"They have suggested there is enough information to begin resuming flights tomorrow," says a spokesman for CANSO.
CANSO states that the statement is only a recommendation, and that a final decision must be taken at government level.
Director general Graham Lake adds: "We should caution that it will take several days for operations to return to normal."
He adds that there is no clear indication as to the extent to which airspace will be re-opened.
UK air navigation service NATS states that meteorological advisories state that the Icelandic volcano Eyjafjallajoekull is "less active than previously", although UK airspace will remain shut at least until midnight on 20 April.