The Queen Mary 2 had to put back departure to ensure that passengers aboard weather delayed flights from the UK to New York were able to join the ship.
The ship is currently on schedule to arrive in Southampton on the morning of January 10 as planned.
Angus Struthers, Cunard's Marketing Director said "We're looking forward to celebrating Queen Mary 2's 10th anniversary of her naming with a tandem sailing from Southampton with Queen Elizabeth - the two ships will set off together on their respective World Voyages at 8.15pm on 10 January."
Queen Mary 2 spent part of the weekend delayed in New York because of two feet of snow that fell in the United States.
She is now on her way say Cunard.
The liner is now racing home to Southampton for her tenth birthday celebrations on Friday where there be a big fireworks display.
HMS Edinburgh's visit to New York is an historic milestone for the ship and for the Royal Navy, as it marks her final international visit before her return to base in Portsmouth.
She will be decommissioned to make way for the Navy's new generation Type 45 destroyer.
She manoeuvred through New York harbour to her temporary home at Brooklyn Pier 7, where she will stay for the next few days.
Hampshire-based HMS Edinburgh, the last of the Royal Navy’s Type 42 destroyers, has sailed into New York on her final international journey before being decommissioned from the service.
Immigration queues are set to get worse into the USA. There is concern if planes are delayed in the US it will have a knock on effect in the UK as well. The Federal Aviation Administration has been told it must make billions of pounds of cuts as part of a Government spending review.
The FAA has told its 47,000 staff it has no choice but to consider compulsory unpaid leave, eliminating night shifts, reducing preventative maintenance and closing over 100 air traffic control towers. Department of Transportation Secretary Ray LaHood warned these changes, due in April.
US airlines and airports are preparing themselves for lengthy flight delays and cancellations and longer than ever security check point and customs lines. The are considering various contingency plans, include getting concessions for airports to stay open longer for stranded passengers.
The Clipper Round the World Yacht Race flotilla flew their Great Britain spinnakers by the Statue of Liberty before being welcomed by hundreds of people waving Union Flags in North Cove Marina. They are taking part in the Clipper Round the World Race.