The auction, run by Bonhams, will raise money for the Mountain Trust and Gurkha Welfare Trust.
James Morris and Rodolfo Jimenez both completed the second year of a three year BHI course.
BBC Radio's flagship show is regularly listened to by over 9 million people.
Horology enthusiasts should tune in for the Breakfast Show on July 4.
Loomes & Co watches are on top of the world today after a team of serving Royal Ghurka soldiers reached the summit of Everest wearing timepieces from the British watch
British watches have become an affordable and sought after product, says Mr Robert Loomes.
Stamford movement and limited edition watch will launch at SalonQP this week.
Robert Loomes steps into new role with clear mission
Bill Levett competed in the Loomes Championship at Rockingham
Loomes & Co Everest expedition watch raffle raises £7,000 for charity.