In Delhi to attend a meeting of non-Congress, non-BJP front, Kumar told reporters that there are differences in Lalu Prasad-led RJD and the party is "on the verge of a split".
"As far as JD(U) stand is concerned, if the people come to us, we will welcome them," he said.
Dismissing suggestions that the Speaker worked to benefit JD(U), he said, "This is not possible. The Speaker has been given certain powers by the Constitution and he alone can take decisions in certain matters. This is what happened in this issue as well. Nobody can pressurise him," he said.
Kumar, who broke away from NDA over the elevation of Narendra Modi, said he could not see the so-called wave in favour of the BJP's prime ministerial candidate.
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RJD saw a major upheaval yesterday with 13 out of its 22 MLAs quitting the party. But six of them later returned and denied walking away from the party.
Earlier in the day, RJD chief Lalu Prasad accused Kumar of hatching a conspiracy to break his party.