Only two Cabinet members, Defense Secretary James Mattis and Homeland Security Secretary John Kelly have been confirmed so far.
During an appearance on "Fox News Sunday," the Kentucky senator urged Democrats to give expedient hearings for both Cabinet picks and Trump's choice to fill the vacancy on the Supreme Court.
McConnell also said that Republican leadership in the Senate and House of Representatives were working with the White House on a replacement for the Affordable Care Act but declined to provide details.
But the Senate's top Democrat says his party won't be rushing into confirming President Donald Trump's Cabinet nominees. Chuck Schumer tells CNN's "State of the Union" that he's "dubious" about eight or nine of Trump's picks, and "there's going to be a thorough debate." The New York Democrat is making his view clear that "advise and consent does not mean ram it through."