Sens. John McCainJohn Sidney McCainFor .2 billion, taxpayers should get more than Congress’s trial balloons Overnight Defense: Pompeo lays out new Iran terms | Pentagon hints at more aggressive posture against Iran | House, Senate move on defense bill Senate GOP urges Trump administration to work closely with Congress on NAFTA MORE (R-Ariz.) and Lindsey GrahamLindsey Olin GrahamThe Hill's 12:30 Report — Sponsored by Delta Air Lines — GOP centrists in striking distance of immigration vote Dem leaders request bipartisan meeting on Russia probe Senate GOP urges Trump administration to work closely with Congress on NAFTA MORE (R-S.C.) will meet with President Obama at the White House on Tuesday to discuss immigration, congressional aides confirmed to The Hill.

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McCain and Graham are both members of a bipartisan group of eight senators that in January unveiled a framework for immigration reform legislation.

Obama invited the senators, according to a GOP aide.

It is unclear if any other members of the group will be attending the meeting.

Other offices for members of the group either did not immediately confirm plans to attend the meeting or said that their bosses were not scheduled to huddle with Graham, McCain and Obama.

Besides McCain and Graham, Sens. Michael BennetMichael Farrand BennetGOP, Dem lawmakers come together for McCain documentary Overnight Health Care — Sponsored by PCMA — Trump official won't OK lifetime limits on Medicaid Hillicon Valley: White House eliminates top cyber post | Trump order looks to bolster agency CIOs | Facebook sees spike in violent content | Senators push NIH on tech addiction | House to get election security briefing MORE (D-Colo.), Dick DurbinRichard (Dick) Joseph DurbinHouse easily passes prison reform bill backed by Trump This week: House GOP regroups after farm bill failure Overnight Health Care — Sponsored by PCMA — Trump hits federally funded clinics with new abortion restrictions MORE (D-Ill.), Jeff FlakeJeffrey (Jeff) Lane FlakeOvernight Energy: Reporters barred from Day 2 of EPA summit | Dems blame Trump for gas price increases | Massachusetts to get new offshore wind farm Jeff Flake: Trump has 'debased' the presidency Senate Democrats look for traction on gas prices MORE (R-Ariz.), Charles SchumerCharles (Chuck) Ellis SchumerThe Hill's 12:30 Report — Sponsored by Delta Air Lines — GOP centrists in striking distance of immigration vote Schumer: Trump should take Kim Jong Un off 'trip coin' Overnight Finance: Trump signs repeal of auto-loan policy | Justices uphold contracts that bar employee class-action suits | US, China trade war 'on hold' MORE (D-N.Y.), Marco RubioMarco Antonio RubioAdministration works to assuage critics over ZTE deal Hillicon Valley: Judge rules Trump can't block Twitter users | ISIS content finds a home on Google Plus | Rubio rips ZTE demands as 'terrible deal' | Bill would protect kids' data Overnight Finance: Trump eyes 'different structure' for China trade deal | Trump mulls auto import tariffs | Banks get green light to offer short-term loans MORE (R-Fla.) and Robert MenendezRobert (Bob) MenendezThe Hill's Morning Report: Can Trump close the deal with North Korea? Senate must save itself by confirming Mike Pompeo Poll: Menendez has 17-point lead over GOP challenger MORE (D-N.J.) are members of the group.

McCain first announced the meeting on Friday. He noted that Obama has supported the group’s efforts to reach a deal.

McCain said the group has yet to reach a deal on specific immigration legislation, but told the Associated Press on Friday he was optimistic an agreement could be reached by the end of March.

"I am guardedly optimistic that we could by the end of the next month," McCain said, according to the Associated Press. "There's still a number of agreements that need to be made before I can assure you that we will have a resolution."

In another sign of Obama’s engagement with the group, the president called McCain, Graham and Rubio last week to apologize for the leak of a White House draft bill.

Republicans had criticized the White House over the leak, arguing it risked setting back their efforts.

Obama met with the four Democratic members of the Gang of Eight in mid-February.