MPs may recall key News of the World executives in their phone hacking inquiry - including James Murdoch.
Culture committee chairman John Whittingdale said it was asking for more information.
Last month, they heard evidence from James and Rupert Murdoch and Rebekah Brooks.
Mr Whittingdale said the committee was publishing evidence later on Tuesday which appeared to contradict some of what they were told.
Tom Watson MP, another member of the committee, said it would also publishing documents at 13.00 BST which he predicted would raise fresh questions for News International.
Last month, the MPs voted not to recall James Murdoch to give more evidence after he and his father Rupert appeared before them earlier in July.
Only one journalist, former royal editor Clive Goodman, has been convicted of phone hacking.
During his evidence to MPs, Mr Murdoch said that when he sanctioned an out-of-court settlement with Gordon Taylor, the Professional Footballers' Association chief executive, he had not been aware of an email which appears to suggest another News of the World journalist knew of hacking.
But two former NoW executives, editor Colin Myler and legal manager Tom Crone, later said that they had informed Mr Murdoch of the document.
Mr Murdoch has said he "stands by his testimony" - but Mr Whittingdale said the committee would be asking Mr Myler, Mr Crone and Jon Chapman, former legal director, to give more evidence.
Speaking to the BBC, the MP said: "When we have all that information and answers to the questions, I think that it would be likely that we will want to speak to James Murdoch again."
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