"I am not in the race," he said at an election rally here.
57-year-old Sinha is the Telecom Minister and MP from Ghazipur in Poorvanchal.
Of the states that have gone to polls in the last 30 months, BJP had not announced its CM candidate in Haryana, Maharashtra and Jharkhand.
Not naming a chief ministerial candidate has its own advantage as it keeps all contenders and their supporters interested, according to observers.
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"Modi government has removed the word corruption from the working culture of government departments. And today even the most vocal opponents of the Modi government cannot level any allegation of corruption," he said.
He claimed that after the announcement of demonetisation, a truck "full of posters or currency notes" was sent from the BSP headquarters here. "This would be probed, and the guilty persons would be punished," he said.
In a jibe at Chief Minister Akhilesh Yadav, he said, "Instead of 'kaam bolta hai' (performance speaks), it should be 'bhrashtachar, apraadh aur kaarnama bolta hai' (corruption, crime and misdeed speak).