Invincibile was offered a new contract at Swindon, but turned it down because he feels he can find himself a better deal at another club.
As well as Invincibile leaving the club are also set to lose Adam Willis, Gareth Edds, Nathan Edwards, and Kevin Halliday over the summer.
Matt Heywood, Alan Reeves and Stefani Miglioranzi are all set to sign new deals and Reeves might take up Neil Ruddock's old job as a player-coach.
Andy King is still undecided on Eric Sabin, keeper Craig Farr, Steve Robinson, and Darren Dykes.
Keith O'Halloran who's beeen out injured for the past 19 months will be given until pre season to decide if he will be staying or going.