Last month, O'Brien was reported to be considering doubling his stake in the company to around 10%. He first acquired a 3% stake in the group last year but upped that holding to 5% earlier this year.
The IN&M chief executive is billionaire Dr Anthony O'Reilly, who holds 28% of the group. He clashed with O'Brien in 2002 when he led a consortium that foiled O'Brien's attempt to buy Irish telecommunications company Eircom and take it private.
IN&M is the largest newspaper group in Ireland, valued at about €2.8bn.