Lt Gen Thirachai reportedly said he had ordered the chiefs of all army regions to assess the situation and report on whether there are any anti-NCPO activities in tourist centres and other economically important areas under their responsibility.
If there were no reports of unrest, he would propose at the NCPO meeting on Friday that Gen Prayuth lift martial law in those provinces.
Martial law was imposed nationwide on May 20, ahead of the May 22 coup. It has been lifted in some tourist destinations, including Pattaya in Chon Buri, in Phuket and Koh Samui off Surat Thani.
Lt Gen Thirachai said the NCPO had used martial law mainly to support prevention and suppression of illegal drugs and against the destruction and encroachment of natural resources.
Martial law will remain in force, particularly in areas where there are still problems over drugs and land encroachment, he said.
He believed that people in general were not that worried by martial law, and they continued to lead normal lives, Lt Gen Thirachai said.