Hull are in talks with former Bolton midfielder Stelios Giannakopoulos.
The Greece international, 34, is a free agent after being released by Bolton in the summer and attended Hull's 2-2 draw with Everton in the Barclays Premier League on Sunday.
Tigers boss Phil Brown said: "We are currently talking to Stelios with regard to a contract until the end of the season or possibly until the January transfer window."
He added: "Stelios has got an ambition to play for Greece in the World Cup but is currently without a club.
"As far as I am concerned if we can convince Stelios to sign for us it would be a no-lose situation."
Signing Stelios would bring the number of new players brought in by Brown to 13 since the club secured promotion to the top flight last May.
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