President Barack Obama speaks about the sequester, as he stands with emergency responders, a group of workers the White House says could be affected if state and local governments lose federal money as a result of budget cuts, Tuesday, Feb. 19, 2013, at the South Court Auditorium in the Eisenhower Executive Office building on the White House complex in Washington. In this photo taken Feb. 7, 2013, Sen. Marco Rubio, R-Fla. gestures as he speaks during an interview with The Associated Press in his office on Capitol Hill in Washington. President Barack Obama's "backup" immigration bill may have angered Republicans but it could spur GOP lawmakers to rally behind a similar plan of their own rather than support legislation with Obama's name attached. Although a key Republican says Obama's draft bill injects partisanship into the process, all parties say bipartisan talks are moving forward. WASHINGTON (AP) - The White House on Tuesday sought to keep delicate immigration negotiations on track, as a key Republican senator distanced himself further from a draft bill President Barack Obama's aides are readying in case congressional talks crumble. Florida Republican Sen. Marco Rubio's office said Obama's plan "injected additional partisanship into an already difficult process." The White House, following the weekend leak of its draft legislation, insisted the president wants the bipartisan Senate group Rubio is a member of to put forward its own bill instead. Obama spoke with Rubio on Tuesday to reiterate his commitment to the Senate process and to make clear that he had his own legislation ready, the White House said. The president also called Republicans Sens. Lindsey Graham of South Carolina and John McCain of Arizona, two other GOP lawmakers involved in the immigration negotiations. "It is, by far, the president's preference that the Senate process move forward, that the bipartisan group of eight have success, and that they produce a bill that wins the support of Democrats and Republicans in Senate," White House spokesman Jay Carney said. Senate aides said privately Tuesday that bipartisan negotiations are in a good place and they did not feel as though the disclosure of details in Obama's draft bill would disrupt their process. In fact, Obama's backup bill could end up spurring GOP lawmakers to rally behind a congressional plan with many similarities rather than support legislation attached to the president. While they differ on some key details, both sides are contemplating legislation that would provide a pathway to citizenship for most of the 11 million illegal immigrants already in the U.S., tighten border security, crack down on businesses that employ illegal workers and strengthen the legal immigration system. Rubio, a rising Republican star and favorite of his party's conservative wing, has particular incentive to publicly disavow Obama's proposals. As one of his party's leading voices on immigration, Rubio will be called on to sell other conservatives on any deal and he knows that doing so will be harder if that deal has the president's stamp on it. He'll also have to convince Republicans that a bipartisan Senate agreement would be more conservative than what Obama would propose on his own. Rubio's office, trying to further distance itself from the White House, insisted Tuesday that the senator's team had not been in talks with the administration on immigration. But Rubio spokesman Alex Conant later said that a representative from the senator's office participated in five meetings with administration officials. Administration officials said they were willing to take hits from the Florida lawmaker if doing so gave him the cover to work with Senate Democrats to reach a deal. "As long as Sen. Rubio and the rest of the gang are making real progress on immigration reform, we are happy to be on the sidelines and even serve as a punching bag every once in a while," Dan Pfeiffer, Obama's senior adviser, said. The White House insisted it did not intentionally leak details of its immigration plan, which circulated widely at key government agencies. Top Obama aides tried to clear up the mess over the weekend, sending apologetic emails to the offices of the eight senators, including Rubio, at the center of the Capitol Hill negotiations. Obama officials say the documents represent draft proposals, not a final bill. The president and his aides have repeatedly said publicly that the White House was readying legislation and would submit it to Congress if the Senate process stalls. The draft White House proposal and the principles outlined by the Senate group overlap in many areas, though there are some key differences. The administration's draft proposal would create a visa for those in the country illegally and allow them to become legal permanent residents within about eight years as part of a broader pathway to citizenship. The Senate group is looking at a 10-year timeline before people already in the U.S. illegally could get green cards. While Obama's proposal calls for more funding for securing the border, it does not make border security a pre-condition for opening a pathway to citizenship. The Senate group's principles would require a border security trigger, though it's unclear how they would define a secure border. Rubio's office has also criticized the president's proposals for not including a guest worker program or a plan for dealing with the future flow of immigrants. Officials say the White House has not set a deadline for when the president would choose to abandon the Senate process and send his bill to Capitol Hill. Senate lawmakers have raised the prospect of drafting a bill next month. Hanging over the entire immigration debate in Washington is a changed political landscape that gives Hispanics more influence in national politics than ever before. Hispanics made up 10 percent of the electorate in the November presidential election and Obama won more two-thirds of their votes, causing many Republican lawmakers to rethink their opposition to immigration reform. Immigration advocates have vowed to keep reminding GOP lawmakers of the growing political power of Hispanic voters. "You can choose not to do it, you can choose inaction, but keep in mind that the Latino community is not going to forget," said Eliseo Medina, an immigration advocate and labor leader at the Service Employees International Union. "If the Senate blocks it, then get prepared for 2014," he added, referring to next year's congressional elections. Follow Julie Pace on Twitter: http://twitter.com/jpaceDC