Forty-eight hours after coming out in support of a tax on drinks with sugar, Mayor Bloomberg indicated today that state legislators are reluctant to swallow the proposal.

“When I talk to the legislators in Albany they all say to a person I can’t under any circumstances raise any tax– even some taxes which would make some sense, like helping the health of our kids with the sugar tax,” Bloomberg said.

On Sunday, the mayor issued a strong statement backing a one-cent-an-ounce tax on soda and other beverages that contain sugar.

Diet drinks would not be affected.

Bloomberg estimated the new tax would raise $1 billion, which he said could be used to soften impending state budget cuts to schools and health care as the state grapples with a projected $9 billion budget deficit.

Without the added sugar tax revenues, the mayor said his question to the legislators is: “Ok, which services do you want to cut?”