The decision was made at a joint consultation meeting comprising the ruling PML-N and allied parties at the Governor's House.
The reports further said that the authorities concerned may issue a notification in this regard at any given time.
Earlier, the PML-N had said that CM Elahi would be de-notified automatically in case of delay in the no-confidence session.
Governor Punjab Baleegh-ur-Rehman earlier asked CM Elahi to seek the vote, but Speaker Sibtain Khan didn't summon the session, declaring the ruling unconstitutional.
On Dec 19, a delegation of PPP and PML-N submitted the motion against Elahi., saying political parties have lost their confidence in him as the Leader of the House.
In view of the motion, Governor Punjab has summoned the session on Wednesday (today) at 4pm.