Story highlights "I think we stand a very good chance to win some of the states today," Sanders said

"We have won 16 states so far," he said

Washington (CNN) Bernie Sanders acknowledged Tuesday his path to winning the Democratic nomination is narrowing, as front-runner Hillary Clinton is poised to extend her lead among pledged delegates.

Voters head to the polls Tuesday in Connecticut, Delaware, Maryland, Pennsylvania and Rhode Island -- dubbed the 'Acela primary' after the high-speed Amtrak train that extends through the Northeast corridor -- and Clinton is expected to outperform Sanders, potentially building pressure on him to exit the race.

But Sanders -- whose advisers have previously insisted he would pursue the nomination through July's convention -- said he will remain in until at least June 7, when the last primaries are held.

"It's a narrow path, but we do have a path," Sanders told CNN's Chris Cuomo on "New Day." "And the idea that we should not contest in California -- our largest state, let the people of California determine what the agenda of the Democratic Party is and who the candidate for president should be -- is pretty crazy."

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