The government will appoint spokespersons on Tuesday, with Narumon Pinyosinwat strongly tipped to lead the team.
Mrs Naruemon, a party-list MP from the Palang Pracharath Party (PPRP), on Monday confirmed that she had been approached by officials working for Prime Minister Prayut Chan-o-cha for the position, Thai Post reported.
She said she had resigned as a PPRP MP in preparation for assuming the new post.
Gen Prayut will lead a cabinet meeting on Tuesday and the names of the government spokespersons will be announced.
Gen Prayut and officials close to him have not talked openly about the move but the pictures of Mrs Naruemon have been widely circulated in the PPRP Line group.
Mrs Naruemon was a lecturer at the National Institute of Development Administration before she turned from from the academic world to politics.