John Whittingdale, chairman of the Commons Culture, Media and Sport committee, said he was "not wholly surprised" by James Murdoch's decision to resign as chairman of BSkyB.
The committee took evidence from Mr Murdoch, in his capacity as executive chairman of News International, as part of its investigation into phone hacking.
Mr Whittingdale said that he hopes the final report into phone hacking will be published by the end of the month. He said: "We are having a full discussion...and we are endeavouring to reach conclusions that all of us will sign up to."
James Murdoch says he resigned to stop BSkyB from being tainted by the phone hacking allegations levelled at News International.
The MPs' report into phone hacking is likely to accuse some witnesses of misleading Parliament. Will James Murdoch be among them?