Washington (CNN) Vermont Sen. Bernie Sanders said he doesn't need to come up with a detailed plan right now of how much his signature "Medicare for All" health care plan would cost individual Americans.

"You're asking me to come up with an exact detailed plan of how every American -- how much you're going to pay more in taxes, how much I'm going to pay. I don't think I have to do that right now," Sanders told CNBC in an interview published Tuesday.

His comments come after Massachusetts Sen. Elizabeth Warren said she would put out a plan in the coming weeks on how to pay for Medicare for All, which she has endorsed. Warren's announcement came after being repeatedly pressed on how she would pay for the sweeping national health insurance plan without raising taxes on the middle class.

A recent study by the Urban Institute said federal spending on health care would increase by roughly $34 trillion under a single-payer plan similar to Medicare for All. That number is in line with earlier studies that pegged the cost at around $32 trillion.

Sanders said: "At the end of the day, we will pay for every nickel of Medicare for All, and it will save the overwhelming majority of the American people, who will no longer pay premiums."

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