BJP leader Subramanian Swamy on Thursday said his party will not wait for a new election in 2019.
Swamy said the party will seek a vote in 2019 from the people.
The BJP, however, did not immediately respond to an email seeking comment on the remarks.
The party is not yet clear about how it will move forward from the three-year delay that began in July, and Swamy did not specify what that delay would entail.
BJP chief Amit Shah and Finance Minister Arun Jaitley have said that a fresh election will be held after the next general elections in 2019 in the wake of the death of Chief Minister Nitish Kumar, who was in hospital recovering from an acute heart condition.
A month ago, the party held its first ever general elections, drawing nearly 40 per cent of the vote.
Modi, who has been the BJP leader since May 2015, has sought to consolidate his power by extending his rule to the states of Bihar, West Bengal, Kerala and Uttar Pradesh.
His party won the Uttar Pradesh assembly elections on a wave of anti-corruption protests, but the opposition BJP had been counting on the opposition to contest the assembly polls in the state.
India has seen a surge in violent protests in the past few months as the government has tried to clamp down on the anti-incumbency movement and to curb a rise in inflation.