Jarungvith said parties should submit the lists on the day instead of waiting. If problems occur, they would still have time to sort them out and resubmit the lists on February 8, he added.
Besides, seven parties have so far submitted lists of prime ministerial candidates to the EC, Jarungvith said.
Earlier, the EC announced that the general election will be held on March 24 to restore civilian rule. This will be the first general election in the country since the military coup in 2014.
The election also attracts the Pheu Thai Party of ousted Prime Minister Thaksin Shinawatra and the Democrat Party of former PM Abhisit Vejjajiva.
In January, the Thai administration lifted a ban on political activities, allowing parties to organise election campaigns.