WATCH: Partial government shutdown over DACA unlikely, Rubio says

Sen. Marco RubioMarco Antonio RubioGOP looks to injure Nelson over Russia comments Rubio’s pro-family, conservative family leave policy promotes stability Dems make history in Tuesday's primaries MORE (R-Fla.) predicts lawmakers will not shut down the government if they fail to reach a deal on a variety of immigration issues. 

“These things come together quickly usually at the last possible moment,” Rubio told The Hill. “I don't believe there will be a government shutdown.” 

Sen. Tim KaineTimothy (Tim) Michael KaineGOP Senate candidate photoshops Tim Kaine shaking hands with Stalin Senate GOP candidate Corey Stewart called kneeling football players ‘thugs’ Voters will punish Congress for ignoring duty on war and peace MORE (D-Va.) thinks that negotiators are likely to reach agreement on a fix for immigration-related matters that bipartisan lawmakers insist happen before agreeing to fund the government before the end of next week. 

"We ought to be able to find a deal," Kaine said, before Jan. 19, the deadline to pass a government funding bill.

A small group of bipartisan senators said they reached a deal Thursday on efforts to protect about 800,000 people covered by the Deferred Action for Childhood Arrivals (DACA) program who face possible deportation over President Trump’s winding down of the Obama-era program. Their talks also cover the diversity visa system, family-based migration and border security.

Kaine predicted there will be Democratic votes for a package that includes security and DACA language.

“I was willing to vote for both. So, if we can find a deal, and there’s no reason we shouldn’t since so many of us in the Senate voted for both permanent protection for Dreamers and border security, we ought to be able to find a deal before the 19th,” Kaine said. 

Watch the video above to hear the senators in their own words.

- This report was updated on Jan. 12 at 1:06 p.m. to clarify Sen. Kaine's comments.