SYRACUSE, N.Y. -- Bernie Sanders believes he can win the New York primary, but only if there is a huge voter turnout.

In a speech in Syracuse Tuesday, the Vermont senator recognized the importance of the impending Democratic primary in New York and said that his odds are much better when voter turnout is high.

"A week from today there's going to be an enormously important Democratic primary in New York State," Sanders said toward the end of his speech. "What we have found is we win when voter turnout is high, we lose when it is low. Next Tuesday, let us come out in large numbers. Let us have the highest voter turnout in Democratic primary history in New York."

Sanders trails rival Hillary Clinton by double digits in most polls with a week until New York votes. He's in the midst of an increasingly tight and increasingly hostile race with the former senator from New York.

Sanders attacked Clinton over her high fees to speak at Wall Street functions and told listeners that he has refused to take money from political action committees during his campaign.

But during the 75-minute stump speech at the Oncenter Convention Center, Sanders reserved his most pointed criticism for the Republican front-runner, Donald Trump.