Moss is also invited at musician Mick Jagger's event, which is set to take place in the Caribbean.
With Miley's huge bash being held at her home here, the warm temperatures at Mick's villa in the Mustique could prove tempting.
"Kate has promised she'll try and juggle her commitments. She knows Lila would love to spend New Year partying at Miley Cyrus' house," a source told Daily Star newspaper.
Fashion designer Tommy Hilfiger has also got an invitation for the Rolling Stones frontman's party and his daughters Jade and Georgia May Jagger are expected to be in attendance.