WASHINGTON — The Senate plunges into a high-stakes debate this week over empowering Congress to review and possibly reject any nuclear deal with Iran, offering Republican presidential candidates a chance to prove their hawkishness toward Iran and support for Israel.

Sen. Marco Rubio of Florida wants to add a provision requiring the Obama administration to certify that Iran’s leaders have publicly accepted Israel’s right to exist, a nearly impossible mandate.

Sen. Ted Cruz of Texas isn’t satisfied with the bill’s process in which Congress could disapprove of the deal. He and Sen. Pat Toomey of Pennsylvania want lawmakers to approve the final deal.

Proponents of the bill are trying to discourage any changes to the legislation that has the tacit approval of President Barack Obama.

“Anybody who monkeys with this bill is going to run into a buzz saw,” Republican Sen. Lindsey Graham of South Carolina, a possible White House candidate, warned ahead of this week’s debate.

Amendments and full debate begin Tuesday.

Also trying to caution against changes, Democratic Sen. Bob Menendez of New Jersey urged senators to stick with the plan as it emerged from the Senate Foreign Relations Committee.

The debate comes as negotiators from the U.S. and five other nations are rushing to finalize, by the end of June, an agreement requiring Iran to curb its nuclear program in exchange for relief from sanctions choking its economy. The parties will meet again this week at the same time as a U.N. conference in New York.