Union Minister Rajiv Pratap Rudy has resigned ahead of the Cabinet reshuffle.
In the first clear indication of an impending Cabinet reshuffle, BJP chief Amit Shah is understood to have taken resignations from a certain number of ministers on Thursday.
News reports said Uma Bharti and Nirmala Sitharaman had also offered to resign.
Rudy was among three ministers - the other two were steel minister Choudhury Birendra Singh and minister of state for human resource development Upendra Kushwaha - who met the BJP president last week.
Prime Minister Narendra Modi will be out of the country from September 3 to September 7 for the Brics summit in China and a state visit to Myanmar.
Finance Minister Arun Jaitley is likely to be divested of the Defence Ministry portfolio, of which he is holding additional charge. Cabinet reshuffle is likely on Saturday, after President Ram Nath Kovind returns from Tirupati.
Longtime Trump aide tells people he intends to leave White House
Likewise, Trump's confidantes outside the White House have said that the president has used the switchboard to call them. These are admittedly low bars, and even Haberman and Thrush acknowledge that it's basically routine office management.
People aware of the developments said more ministers may resign as Modi prepares to induct new faces, including those from the Janata Dal (United), or JDU, and All India Dravida Munnetra Kazhagam (AIADMK), into his council of ministers. He is well above 75 years-the age bar the party has informally set for ministers.
When Jaitley was asked how long he would have dual charge of the finance and defence ministries, he had replied: "At least, I hope, not very long".
Bihar Chief Minister Nitish Kumar's JD (U) which had joined NDA after walking out of "Mahagathbandhan" might get two berths in the new Cabinet. However, reports state that Bharti's resignation has not been accepted by the Prime Minister.
There is no clarity, yet, on the future of Railways Minister Suresh Prabhu, who had offered to quit over derailment of the Utkal Express.
Rudy has even announced that the ministry will be stripping the NSDC of its task of implementing its flagship skill schemes. Science minister Harsh Vardhan was allotted the environment ministry.