Chairman Greg Clarke and chief executive Martin Glenn retain the support of the FA Board, Sky sources understand.
FA board members will hold a conference call on Thursday night but it is not an emergency call and is standard practice for committee hearings to be discussed the following day.
Digital, Culture, Media and Sport chair Damian Collins said the four FA bosses who faced the committee should consider resigning over the Mark Sampson affair.
But it is understood Clarke and Glenn's positions are not at immediate risk, as there is no appetite for leadership change within the FA Board and FA Council.
The FA & England are moving into a World Cup year and, despite strong criticism from MPs, Clarke and Glenn feel they are the right people for the job.
The feeling was that the restructuring of the organisation, the cost-cutting measures, the changes made in accountability and diversity of the FA's board and its council, meant they were keen to keep both in place.
Clarke and Glenn are also felt to be the best representatives the FA has had in their respective roles for quite some time.