The petition was filed on Monday by caretaker Science and Technology Minister Pirapan Palusak, a member of the Pheu Thai legal team.
The NACC is scheduled to announce its decision on Tuesday. The amendment was deemed unlawful by the Constitution Court on Nov 20.
Caretaker Prime Minister Yingluck Shinawatra is among those who voted in favour of the amendment.
Mr Pirapan said the NACC acted hastily in concluding its investigation of a case that involves a large number of accused.
Only six witnesses had been questioned and this was not fair to them all, he said.
Mr Pirapan said the NACC had been asked to consider more evidence before pressing charges through the court.
Amnuay Khlangpha, the former chief of government whips, said the 381 accused of violating the constitution had prepared their case, with documents and other evidence to back them up.