Steel and telecoms tycoon Alisher Usmanov said Mr Watson "deserved" the medal, and that he was "distressed" the scientist had felt forced to sell it.
The medal, awarded in 1962 for the discovery of the structure of DNA, sold for $4.8m (£3m) at auction.
The medal was the first Nobel Prize to be put on sale by a living recipient.
The 1962 prize was awarded to Watson, along with Maurice Wilkins and Francis Crick, with each receiving a gold medal.
Mr Watson, 86, has said he planned to donate part of the proceeds to charities and to support scientific research, informs Report citing BBC.
In an interview with the Financial Times recently, Mr Watson said he had been made to feel like an "unperson" since a Sunday Times interview seven years ago in which he linked race to intelligence.