"The political group voted to delegate three of its members to the Seimas leadership: the two current vice-speakers, Rima Baskiene and Arvydas Nekrosius, and (...) myself," Karbauskis told reporters after the group's meeting on Tuesday.
When asked which position he will stand for, he said this will be decided by the ruling Coalition Council.
Karbauskis currently heads the Seimas Committee on Culture. If appointed speaker or vice-speaker, he would have to step down as head of the Farmers and Greens' political group in the Seimas.
The ruling bloc has also called on Remigijus Zemaitaitis, the Order and Justice Party's chairman, to resign as vice-speaker of the Seimas.
Zemaitaitis became a non-attached MP after other members of the Order and Justice parliamentary group formed a new group named "For Lithuania's Welfare".
The Farmers and Greens are planning to bring on Thursday a no-confidence motion against Viktoras Pranckietis, the speaker of the Seimas whom the party delegated to the post at the start of the current parliamentary term.
Karbauskis has pressured Pranckietis to step down, saying that the speaker's post should go to the Social Democratic Labor Party under the new coalition agreement signed in July.
Pranckietis says he will not resign unless the parliament votes to remove him from the post.
The Farmers and Greens collected the necessary votes to initiate a no-confidence vote against the speaker several months ago, but have not yet table the motion because of the risk that they will fail to muster the minimum 71 votes needed to pass it.
Karbauskis said last week that the no-confidence motion would be put to vote on October 17.