A Democratic leadership aide said the caucus supports the legislation and is hoping to pass it by consent on Friday.
The deal, according to a GOP appropriations aide, will include $19.1 billion for disaster recovery, including $600 million in food stamp money for Puerto Rico and an additional $300 million in Housing and Urban Development grants for the island territory.
The breakthrough came after Shelby and Sen. David Perdue (R-Ga.) spoke with Trump over the phone earlier Thursday afternoon as Republicans jockeyed to get the White House's support for a pared-down disaster only bill.
Negotiators had been stuck for days over how much of the administration's $4.5 billion request for emergency border money to include in a package. The thorny issue includes political landmines like Immigration and Customs Enforcement (ICE) and detention bed funding.