Speculation are rife that he may seek premature retirement or will be given a new role by the government.
Army Chief General Bipin Rawat on Tuesday made his first visit to the Eastern Command after taking over the office and also went to the forward areas at the international borders with China.
Lt General Rawat belongs to the famous 5th Battalion of 11th Gorkha Rifles. He is the current vice chief of army staff of Indian Army.
"The force is to maintain peace and tranquillity at the border but it will not shy away from flexing its muscles, if the need be," Gen Rawat said.
The Congress and the Left on Sunday questioned the appointment of the new army chief by superseding two officers, saying every appointment by the government has become controversial.
Defence ministry says the focus was on suitability and merit for the selection of the new Army chief.
" ...the military (is) being increasingly drawn into the political discourse, it's being used to win political arguments"
In his petition, the vice admiral has challenged the government's move to ignore seniority and appoint his junior as the next chief of navy.
Lt Gen Bakshi announced 'full support' to the new chief and made it clear that he won't resign.
In his fresh petition, Verma said he had filed a statutory complaint with the defence ministry, challenging appointment of Vice Admiral Singh as the next navy chief, and asked it to respond within 10 days.
A quintessential military commander, Gen Bipin Rawat possessed an uncanny understanding of geopolitical upheavals, calibrated a tri-services military doctrine to make India face myriad security challenges, and is largely credited with bringing down militancy in the Northeast and Jammu and Kashmir.
Verma also sought quashing of a note issued by the defence ministry rejecting his plea against Singh's appointment.
Vice Admiral Singh is scheduled to take charge as the new Navy chief from incumbent Admiral Sunil Lanba, who is set to demit office on May 31.
The Centre held that seniority is not the sole criterion for selection.