The airline has operated single flights in and out of Griffith six days a week since resuming the Melbourne service in October last year.

But this has drawn the ire of some in the community, with calls for Rex to put on morning and evening flights.

A young Griffith mother, who did not wish to be named, said the stress involved in having to drive to and from Melbourne so her son could receive specialist medical treatment was "unbearable".

"I have to take my son for treatment to the Royal Children's Hospital (in Melbourne) and his appointments are from 9am to 1pm on Tuesday," she said.

"Now I have to drive after work and drive back after treatment, which will not only exhaust me but cause my son a great deal of pain.

"It is a necessity not a luxury to have flights that go to and return from Melbourne daily."

Rex network strategy and sales general manager Warrick Lodge admitted the scheduling was not ideal, but said the service could not support daily return flights at this stage.

He said the airline would need to fly an extra 15,000 passengers to Melbourne a year simply to cover the $1.5 million cost of devoting a dedicated plane and crew to the leg.

"I've got doubt ? and we get feedback through customer feedback channels ? that the schedule's not ideal," Mr Lodge said.

"But I think we've got a little bit of building to do before we take that next step because taking that next step is where the real commercial risk kicks in for us.

"There needs to be, I think, a level of appreciation that we're operating a marginal service that is simply covering our variable costs while we work to build it up."

Councillor and airport management committee chairman Peter Fussell said council would continue to work with Rex to improve the service.

"They've brought the flight back in and while it's not the ideal time it is a service that we didn't have before and we now have to positively move forward," he said.

Councillor Fussell said it had been nearly six months since the flights resumed and council would be meeting with Rex soon to discuss the service's future and the possibility of introducing daily return flights would be raised.