Sen. Chuck SchumerCharles SchumerHow Trump can score a big league bipartisan win on infrastructure Overnight Finance: Dems introduce minimum wage bill | Sanders clashes with Trump budget chief | Border tax proposal at death's door GOP senators distance themselves from House ObamaCare repeal bill MORE (D-N.Y.) is criticizing Senate Majority leader Mitch McConnellMitch McConnellTrump got harsher GOP reception than Bush on budget Franken explains why he made an exception to diss Cruz in his book The Memo: Trump returns to challenges at home MORE for saying the Senate should not move forward with a Supreme Court nominee during President Obama's remaining months in office.

"You know, the kind of obstructionism that Mitch McConnell's talking about, he's harkening back to his old days. You know, he recently he said, 'Well, I want regular order,' " Schumer said on ABC's "This Week."

"But in 2010, right after the election or right during the election, he said, 'My number-one job is to defeat Barack ObamaBarack ObamaEmanuel: Dreamers ‘part of the Chicago family’ Obama visits Prince Harry at Kensington Palace White House to share info on ethics waivers MORE,' without even knowing what Barack Obama was going to propose. Here, he doesn’t even know who the president's going to propose and he said, 'No, we're not having hearings; we're not going to go forward to leave the Supreme Court vacant at 300 days in a divided time,' " he said.

Schumer said that kind of strategy "isn't going to last," adding that the American people don't like obstruction.

He added that he thinks the president will nominate someone who is "mainstream."

"I believe that many of the mainstream Republicans, when the president nominates a mainstream nominee, will not want to follow Mitch McConnell over the cliff," he said.

"When you go right off the bat and say, 'I don't care who he nominates, I am going to oppose him,' that's not going to fly," he said.