However Mr Yadav refused to comment on the speculation about a possible alliance between the JD(U) and Lalu Yadav's RJD.
In fact, in an interesting development, three RJD MLAs have resigned from the party.
Meanwhile, Sushil Kumar Modi, leader of the JD(U)'s political ally-turned-foe BJP, had scoffed on Twitter yesterday, "MLAs will again re-elect Nkumar as their leader & he will withdraw his resignation claiming under pressure of MLa's (sic)".
At a press conference in Patna yesterday evening, Mr Kumar had explained his decision to resign.
"I take moral responsibility for the defeat...I should," he said, adding, in an apparent dig at PM-elect Narendra Modi, "We hope that good days have come. Promises will be fulfilled."
The JD(U) had suffered a rout in the Lok Sabha polls and it could only win two of the 40 seats in Bihar. It had won 20 seats in 2009 in alliance with the BJP, which had bagged another 12.
The BJP was the beneficiary of the JD(U)'s decision to part ways with it in June last year. It won 31 seats this time in partnership with Ram Vilas Paswan's Lok Janshakti Party and Upendra Kushwaha's Rashtriya Lok Samata Party.
Sources close to Mr Kumar say he is not keen to be re-elected as he does not want his decision to be seen as a political stunt.
On Friday, six ministers who had been critical of his decision to part ways with the BJP last year did not attend a cabinet meeting that Mr Kumar had called.
In an Assembly with an effective strength of 238, the JD(U) has 114 members and has been propped up by the support of four Congress members, three Independents and a CPI legislator. The actual strength of the assembly is 243.