"The chief minister also sent a letter to the Prime Minster in this regard," a release from the state government said.
Thambidurai, leader of the AIADMK in the Parliament, was unanimously elected as Lok Sabha's deputy speaker on Wednesday, making him the first leader to occupy the post twice. He had been Deputy Speaker from 1985 to 1989.
He was the only candidate to file nominations for the post before the deadline on Tuesday.
Eleven parties in the ruling and the Opposition benches, including the BJP and the Congress, supported him.
A five-term member, Thambidurai represents Karur constituency in Tamil Nadu. The AIADMK is the second largest party in the Opposition after the Congress.
Soon after Thambidurai was elected as Deputy Speaker, Modi described him as a "multi-faceted personality" and thanked all parties, especially those in the Opposition, for electing him unanimously.
Modi said Thambidurai was an academician, an activist and an agriculturist and his rich parliamentary experience would guide the House in the right direction.
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