Allies of former Prime Minister Boris Johnson, including Nadine Dorries, Sir Jacob Rees-Mogg and Priti Patel could face suspension from Parliament.
The Privileges Committee found the MPs 'took it upon themselves to undermine procedures of the House of Commons' by criticising the panel's long-running Partygate inquiry.
The committee said MPs should consider whether their actions could be considered a contempt of Parliament and what further action to take.