Green is weighing up a three-year deal from the Demons, although the Sydney Swans, Collingwood, Port Adelaide and Hawthorn are all interested in his services.
Melbourne general manager of football operations Chris Connolly said Green was set to meet with his manager to decide his immediate football future.
"We're just waiting on Brad Green's manager to get back to us, Michael Quinlan," Connolly told melbournefc.com.au on Tuesday night.
"Michael Quinlan said he was going to sit down with Brad and go through all of his situations.
"Hopefully, we'll here tonight [Tuesday] on Brad Green and Brent Prismall."
And Connolly said Melbourne was still right in the hunt for Fremantle ruckman Robbie Warnock and Geelong midfielder Prismall.
He confirmed that a number of clubs were chasing the emerging Cat.
"We're still certainly working through the Rob Warnock situation and we're committed to Rob Warnock and also Brent Prismall – two guys that fit into our plans, in terms of their age and quality as young players. So they're two players we're focused on," he said.
Connolly said the club was still negotiating with Fremantle over a trade for Warnock.
"We're looking at all angles with Fremantle, but I don't want to put on the table what arrangements we're making – we certainly haven't given up getting his services," he said.
The former Melbourne centreman and ex-Fremantle coach said no clubs had spoken about Chris Johnson or Mark Jamar on Tuesday after several rivals asked about the duo on the first day of the exchange period.
"I think we're all waiting for the big balls to fall – the [Ryan] O'Keefes and [Hamish] McIntoshs – and then those types of players come in later in the week, if there is an interest," Connolly said.
