President Obama will use his Tuesday meeting at the White House with House Speaker Paul Ryan, R-Wis., and Senate Majority Leader Mitch McConnell, R-Ky., to push them on the need to fund his cancer research project.

"I also would anticipate a discussion about the cancer initiative," said White House Press Secretary Josh Earnest, referring to Obama's new cancer "moonshot" taskforce, led by Vice President Joe Biden, which strives to speed up the pace of cancer research and cure discoveries. Combatting heroin addiction may also be on the agenda.

The White House announced its plan to meet with GOP leaders last week, and the meeting will be used to "discuss their priorities heading into 2016," Earnest said. Those issues will include criminal justice reform and ratification of the Trans-Pacific Partnership.

Earnest said they might broach aspects of the tax code on which they agree, such as expanding the earned-income credit. Puerto Rico's insolvency and efforts to write and enact a new authorization for use of military force against the so-called Islamic State could also come up, Earnest said.

"[T]here is a lot that the president is hopeful that he can get done with Congress over the course of this year," Earnest said. "These are all things that Republicans independently say are priorities for them."

It will be the first one-on-one meeting between Obama and Ryan, and after the three leaders meet, Obama and Ryan will sit down to lunch by themselves.

"[W]e've been working to try to find a time to schedule this meeting and so that lunch will be take place tomorrow," he said.