The Australian midfielder, who is a free agent after his contract with Leeds United expired at the end of last season, is on the lookout for a new club and his representative, Pete Smith, has revealed that Hull's Premier League ambitions appeal to Kilkenny.
"Hull are a club that would appeal to Neil, of course," Smith told the Hull Daily Mail. "They're a big club that's been in the Premier League.
"They've touched it and felt it and that's where they want to be again.
"There's a good set-up there with very good management," Smith added.
"Neil has worked with (Hulls boss) Nigel (Pearson) before with England Under-18s and knows his knowledge of the game is excellent. Hull are one of the clubs to have been in contact but nothing has been firmed up as yet.
"Neil came back to England on Monday (from international duty with Australia) and we'd hope to have something confirmed in the next week or so.
"Neil wants to get his future sorted quickly and we're in that process of talking to clubs now."