Following the 1-1 draw with Tottenham which extended Norwich's winless run in the Barclays Premier League to seven matches, Hughton confirmed talks with Leeds.
He said: "The clubs are in discussion and that's one that I hope gets done."
Steve Morison could move to Elland Road as part of the Becchio switch.
Hughton added: "Whether that has to be part of the deal or not, I don't know. That's what the talks are."