Sen. Chuck SchumerCharles SchumerSenate seen as starting point for Trump’s infrastructure plan Dems wait for GOP olive branch after ObamaCare debacle How Obama's White House weaponized media against Trump MORE (D-N.Y.) is criticizing Senate Majority leader Mitch McConnellMitch McConnellThe truth is the latest casualty of today’s brand of politics McCain and Graham: We won't back short-term government funding bill Senate seen as starting point for Trump’s infrastructure plan 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 ObamaOvernight Tech: FCC chief gives states more control over internet subsidies | Dems urge Trump to veto bill blocking online privacy rules | House boosts its mobile security Overnight Defense: Pentagon considers more troops for Afghanistan | McCain, Graham won't back short-term funding | GOP defends Trump rules of engagement Paul Ryan sells out conservatives with healthcare surrender 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.