Officials said the Republican leadership informed the GOP rank and file of the plan to meet during a conference call Thursday.
It is unclear what legislation the House might consider Sunday, since Speaker John Boehner is publicly insisting that the Senate must make the next move to avert the cliff.
With the Senate in session, Democrats in both chambers of Congress have been harshly critical of the House's absence.
The "fiscal cliff" deadline is four days away.
The officials who disclosed plans for the Sunday session did so on condition of anonymity, saying no public announcement had yet been made.