The Suns are reportedly waiting on a suitable trade offer to be made before they decide to release May from the club.
Although May still has one-year still left on his contract at the Suns, the 26-year-old has been exploring opportunities to depart the club before he becomes a free agent at the end of next year.
After just securing a trade for George Horlin-Smith from Geelong, Suns list boss Craig Cameron told AFL.com.au it’s up to rival clubs to begin the negotiations.
“He’d be happy to come to Melbourne (city) if something was found,” Cameron said.
“It’s up to the clubs now that are pursuing him to come up with something. At this this stage they haven’t.”
Gold Coast are also finalising a trade for Kade Kolodjashnij with a move to the Demons, which could include May.
Cameron said they’ll get a deal done before the trade period ends at 8:30pm AEDT on Wednesday.
“We’ll get something done with Kade either today or tomorrow,” Cameron said.
“If they come to us with something around Steven then it might be tied into that, that’s a fair way off as I said.”