In discussions that went late into Monday night, they resolved to establish a 12-member committee to look into a matter that has gripped the house for the last two months.
Majority leader Samuel Poghisio (West Pokot) supported the idea but warned that the next sitting should only be agreed upon after the committee makes progress.
The hope came on a day of high drama, anger and emotions after three senators were arrested in what was a scheme to stop them from participating in the crucial process.
The Speaker thanked the lawmakers for the deal and urged them to remain united if they have to agree on a formula that will retain the stature of the House.
There is hope for a consensus in the Senate on the controversial third criteria of sharing revenue as lawmakers have agreed to take a step to help end the stalemate.
In discussions that went late into Monday night, senators resolved to establish a 12-member committee to look into a matter that has gripped the house for the last two months.