By Alexander Bolton - 11/07/13 01:30 PM EST
Sen. John McCainJohn McCainLots of (just) talk about 'draining the swamp' 56 memorable moments from a wild presidential race Is Georgia turning blue? MORE (R-Ariz.) will meet with President Obama at the White House Thursday afternoon to plot strategy for passing comprehensive immigration reform.
“I’m going over to the White House this afternoon to meet with him [on] immigration reform and others,” he said. “I actually have a respectful and cordial relationship with him.”
McCain and Obama need to shore up the support of wavering allies such as Sen. Marco Rubio (R-Fla.), who has backed off the push to overhaul the nation's immigration laws in a 1,200-page comprehensive bill.
Rubio has said the Senate should not try to merge its comprehensive bill with a piecemeal measure coming out of the House.
McCain's ally, Sen. Lindsey Graham (R-S.C.), has predicted there would be more Republican support for immigration reform after the filing deadlines for Republican primaries in 2014.
Graham, who is facing his own primary threat in South Carolina, said he would not attend Thursday's meeting between McCain and Obama.