The proposal addresses individual payments, money for schools and unemployment benefits.
A full-fledged GOP proposal is expected later this week.
The Treasury Department is reportedly working on a plan to retrieve the stimulus money that was erroneously sent to deceased citizens.
Tony Spell went on CNN's New Day Weekend to defend his "stimulus challenge," which asks his followers to donate their checks to the church.
More than 80 million stimulus payments have been sent to American taxpayers. Several million of those were deposited into third-party accounts.
The Treasury Department requested Trump's name to be printed on the checks sent out by the IRS, which could delay them by a few days.