"Lugovoy will work in a committee close to his specialisation. It will be probably the security committee, probably as a deputy head," said Vladimir Zhirinovsky, the head of the nationalist LDPR party.
LDPR was one of only four parties which overcame a 7 percent barrier to qualify for seats in the lower house of parliament after Sunday elections, incomplete results released by the election commission showed.
All parties in parliament have the right to appoint their nominees to senior committee posts on a quota basis.
President Vladimir Putin's United Russia is on course to win the election with over 60 percent of votes, followed by the Communist party with over 11 percent, LDPR with around 9 percent and Fair Russia with around 8 percent.
Lugovoy, who was No. 2 after Zhirinovsky on the LDPR election slate, was more evasive on his next job.
"As everybody knows I have a lot of experience in security issues... I'm also well experienced in small and mid-sized business," he said.
Britain wants to extradite Lugovoy from Russia to face trial in London for the murder of Litvinenko, who was poisoned with radioactive isotope polonium-210 slipped into a cup of tea he drank in a London hotel bar.
Lugovoy has repeatedly said he is innocent. Russia has refused his extradition, citing a constitutional bar on sending its citizens abroad for trial.