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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.