Prime Minister David Cameron and Culture Secretary Jeremy Hunt have applied for the right to see Leveson Inquiry documents and witness statements in advance.
Eight cabinet ministers asked to be named as "core participants", those who have a significant interest in the hearings or may face criticism.
Mr Cameron and Mr Hunt have already supplied witness statements and will give evidence to the press standards inquiry in the coming weeks.
Also applying for core participant status are Deputy Prime Minister Nick Clegg, Business Secretary Vince Cable, Education Secretary Michael Gove, Justice Secretary Kenneth Clarke, Home Secretary Theresa May and Chancellor George Osborne.
All but Mr Osborne will give evidence in person, the inquiry heard.
The ministers' move came ahead of potentially explosive testimony next week from former News International executives Rebekah Brooks and Andy Coulson.