At the meeting, some of the members of board said they should be considering other limits on high-calorie foods.
One member, Bruce Vladeck, thinks limiting the sizes for movie theater popcorn should be considered.
"The popcorn isn't a whole lot better than the soda," Vladeck said.
Another board member thinks milk drinks should fall under the size limits.
"There are certainly milkshakes and milk-coffee beverages that have monstrous amounts of calories," said board member Dr. Joel Forman.
Mayor Bloomberg says the drink rules are an attempt to fight obesity in the city. It would limit food service establishments in the city from serving drinks bigger than 16 ounces but would allow refills.
The New York City Restaurant Association is fighting the proposal and is considering legal action of it goes into effect.
New York City voters oppose 51 - 46 percent Mayor Michael Bloomberg's proposed ban on the sale of over-sized sugary soft drinks, according to a Quinnipiac University poll released Wednesday.