One local wedding planner, who wished to remain unnamed, said the wedding would be held "sometime after Christmas" and tipped Stoneridge Estate as the most likely venue for the couple.
Stoneridge Estate refused to respond to queries from the Otago Daily Times last night.
The estate is located beside Lake Hayes near Arrowtown and has an onsite stone chapel.
Local wedding planners The Wedding Company, A Touch of Spice and Simply Perfect all confirmed they had not been involved in the Williams and Green wedding.
Mr Williams proposed in April this year during his Super 15 season to the pole fitness dance instructor after seven years of dating. The pair was seen in Queenstown in July this year shortly before the All Blacks went into their Rugby World Cup training camp.
The 30-year-old Blues and All Blacks lock is now the third All Black to marry in a short space of time after team mates Daniel Carter and Jerome Kaino married in early December and late November respectively.