The 27-year-old has been training with Killie following his release from Dundee.
He will now be part of Tommy Wright’s squad for their pre-season training camp in Northern Ireland.
The former St Johnstone manager is undertaking an extensive rebuild at Rugby Park after relegation from the Premiership.
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He has already signed 12 players, including former Hearts starlet Scott Robinson, plus ex-Hibs duo Fraser Murray and Jason Naismith.
Wright revealed he tried to bring Hamilton to St Johnstone on a couple of occasions.
The goalkeeper came through the Hearts academy, making more than 60 appearances before a switch to Dundee.
“He is someone who has a lot of experience but for me he is someone who hasn’t fulfilled his full potential yet,” Wright told the Scottish Sun.
“If we do sign him then I am confident we could make him into a really top class goalkeeper who performs well on a consistent basis.”