WATCH: Partial government shutdown over DACA unlikely, Rubio says

Sen. Marco RubioMarco Antonio RubioAnother VPOTUS tries for POTUS: What does history tell us? Tensions swirl around Iran as administration to brief Congress Tensions swirl around Iran as administration to brief Congress 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 KaineOvernight Defense: Iran worries dominate foreign policy talk | Pentagon reportedly to send WH plans for 10K troops in Mideast | Democrats warn Trump may push through Saudi arms sale | Lawmakers blast new Pentagon policy on sharing info Iraq War looms over Trump battle with Iran Senate passes bill to undo tax increase on Gold Star military families 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. 

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"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.