Brooks, who resigned as NI chief exec in July last year, and Coulson, who resigned as David Cameron's director of comms in January last yearCopyright: Barry Batchelor/Lewis Whyld/PA
Coulson is scheduled to appear on Thursday, with chairman of the Daily Mail & General Trust Viscount Rothermere also due to appear on the same day.
Following his resignation as editor of News of the World in 2007, Coulson became director of communications for the Conservative Party and subsequently for Prime Minister David Cameron.
He resigned from this post in January 2011.
The whole of Friday has been set aside to hear evidence from Brooks, who resigned as chief executive of News International in July last year following the News of the World's closure.
The inquiry is currently in module three, which is looking at "the relationship between press and politicians".
Others due to appear next week from Wednesday (9 May) include editor of the Mail Online Martin Clarke, DCI Brendan Gilmour from MPS Operation Glade – the investigation into possible corruption by the police – and Russell Middleton from Operation Reproof at Devon and Cornwall Police.