Dr Tom Dolphin, the chair of the BMA junior doctors committee, has become the first to confirm his candidacy, and retired GP Dr Kailash Chand is also strongly considering standing for the position.
Former BMA deputy chair Dr Kate Bullen, a retired anaesthetist, stood down from her role at the Annual Representative Meeting in Bournemouth last month after five years in the role.
Nominations close on 10 August for the position, which is a non-political supporting role to the BMA chair office.
Dr Wilson was voted the 13th most influential GP in the country in last year's Pulse Top 50 survey because of the prominent roles she holds on both BMA Council and the GPC. She is also a board director for out-of-hours services provider Badger.
Dr Kailash Chand worked for 25 years as a GP in Ashton-under-Lyne, Lancashire, before becoming chair of NHS Tameside and Glossop in 2009. He has become well known for his dogged campaigning against the Government's health reforms, forcing a parliamentary debate on them after his petition gained over 170,000 names.
Dr Dolphin is chair of the BMA's junior doctors committee, deputy chair of the education and training subcommittee and one of the BMA negotiators on pensions.
Speaking to Pulse, Dr Dolphin said the time was ripe for a junior doctor to step up and play a role at the top of the BMA.
He said: ‘The BMA has a lot going on at the moment – the pensions issue being one of them – and it is increasingly becoming recognised that junior doctors play a significant part not onlywithin the BMA, but also in the NHS as a whole.'
Both Dr Wilson and Dr Chand were unavailable for comment.