Senate Majority Leader Mitch McConnell said a legislative fix to the Deferred Action for Childhood Arrivals program will not happen this week or this year.

"Sen. [Chuck] Schumer and I have discussed it. We will not be doing DACA this week. That’s a matter to be discussed next year," the Kentucky Republican said on Fox News on Tuesday before the Senate votes on a major tax reform bill.

"The president has given us until March to address that issue. We have plenty of time to do it," he added.

The DACA program, which the Trump administration announced it was rescinding in September, is set to expire in March.

While no concrete date has been set, many have called for a fix by the end of the year. Democrats hope to continue the program, which allows immigrants brought to the U.S. illegally as children to stay and work in the United States, and have threatened to hold up funding for the government if a solution is not reached.

A continuing resolution passed two weeks ago is set to expire Friday.

McConnell said Tuesday he believes there will be no government shutdown and said another short-term solution to fund the government is likely. House Speaker Paul Ryan, R-Wis., plans to pass a continuing resolution this week that funds the government through Jan. 19.

McConnell said last month he expects Republicans and Democrats to strike a compromise deal to allow recipients of DACA to remain in the U.S. in exchange for measures on border security or to end "chain migration," which makes it easier for family members of current U.S. residents to enter the country.