WASHINGTON — Key senators tentatively agreed on a plan to revive a stalled immigration bill yesterday, aided by President Bush’s support for a quick $4.4 billion aimed at “securing our borders and enforcing our laws at the work site.”

Officials who spoke on condition of anonymity said Republican and Democratic supporters of the bill were presenting their proposal to the Senate’s top two leaders, who in turn arranged an early evening meeting to discuss it.

Precise details to be presented to the majority leader, Senator Reid, a Democrat of Nevada and the minority leader, Senator McConnell, a Republican of Kentucky, were not disclosed.

In general, according to officials familiar with the discussions, Republicans and Democrats would each be accorded roughly a dozen chances to amend the measure, with the hope that they would then combine to provide the 60 votes needed to overcome a filibuster by die-hard opponents.

The officials who described the emerging plan did so on condition of anonymity, saying the negotiations had been conducted in private.