Other candidates proposed by the TS-LKD branches and communities include Andrius Kubilius, a former prime minister, and MPs Irena Degutienė, Rimantas Dagys, Mantas Adomėnas, Žygimantas Pavilionis, Agne Bilotaitė, Laurynas Kasčiūnas and Monika Navickienė, as well Valentinas Stundys, chairman of the party's Christian Democratic community.
However, most of these candidates are likely to withdraw their candidacies.
TS-LKD is the only party in Lithuania that picks its leader in a direct election.
The conservatives scored a narrow victory in multi-member voting in last October's parliamentary elections with almost 22 percent of the vote, but they finished second in terms of the total number of seats in the parliament after the run-off round.
The party's political group in the current Seimas has 31 members, up from 30 in the previous parliament.