The names will be from the pool of top BJP leaders who are have already handled critical ministries.
As Prime Minister Narendra Modi took oath along with 57 ministers on Thursday, there was speculation on the Big Four in the new cabinet - the Home Minister, Finance Minister, Defence Minister and External Affairs Minister.
The exit of Arun Jaitley and Sushma Swaraj for health reasons has left two big vacancies.
BJP president Amit Shah, who was the third minister to be sworn in after PM Modi and Rajnath Singh, is expected to handle one of the big ministries. Amit Shah is credited with managing the BJP's staggeringly successful campaign, which resulted in a rich 303-seat haul for the party.
Rajnath Singh, who was Home Minister and number two in the previous government, is also expected to be given a mega ministry.
The others likely to handle the big ministries are Nirmala Sitharaman, the Defence Minister, and Piyush Goyal, who was stand-in Finance Minister when Arun Jaitley was away for treatment.
Nitin Gadkari, who held six portfolios in the previous government, is also likely to be given a key ministry.
Much talk surrounded the inclusion of former diplomat S Jaishankar, who was Foreign Secretary in the previous government. Many believed he may land the foreign ministry portfolio.