The 32-year-old led the club through the play-offs as player-manager but his contract has since expired.
However, Neil is not inclined to panic and is confident that the Hamilton board will put a new contract on the table. Talks over a new deal had begun in earnest earlier in the campaign.
"My contract is actually up and I've not signed a new deal," said Neil, who has guaranteed Hamilton a £1.5m windfall as a consequence of promotion. "I'm sure we'll sit down and try and get something sorted."