Hughton is keen on signing Troisi as winger Elliott Bennett will be out of action for the rest of the year with a knee problem.
The 25-year-old had also been strongly linked with a move to Blackburn Rovers.
Troisi is expected to join Norwich on a season-long loan deal.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.