The International Olympic Committee told the Herald via email last week that the Belarus National Olympic Committee would return the medal from Ostapchuk to its headquarters. But it gave no indication of when this would happen or what kind of response it had received from the Belarusians.
Adams' manager, Nick Cowan, said she was keen to celebrate her medal.
"If a medal was available today she wants it today, which is fair enough. But she wants to celebrate it in New Zealand as well and, in all reality, I think what we are staring at is a medal presentation in New Zealand, which she is really excited about.
"But we don't know if that is going to be in a month's time, three, 10 or 12 so therefore we are preparing ourselves for a long haul.
"We can only hope that it will be quick and this side of Christmas, but it may not be and I have had that discussion with Valerie."
Adams won the Lausanne event with a throw of 20.95 metres, 25 centimetres further than her gold medal throw at the London Olympics but still short of her second best recorded before the Games.
It is the New Zealander's second Diamond League victory in two weeks, and third of the season, after winning in Stockholm last weekend.
Her best effort was 1.35 metres further than second placed Michelle Carter of the USA.
Olympics silver medalist Yevgeniya Kolodko finished in third, more than two metres behind Adams. Adams passed 20 metres on all three of her recorded throws.
- HERALD ONLINE/NZ HERALD