The bill is widely expected to pass the legislature, where the Democratic Party has a veto-proof majority. The state's governor, Phil Scott (R), is in favor of abortion rights.
Coyne said he is encouraging Catholics in Vermont to contact their representatives about their opposition to the bill and that "some inroads" had been made, with several legislators dropping their support of the bill.
The bishop said he hoped that if the bill were to be vetoed, there would be enough people in the legislature to prevent an override.
"This bill goes too far. It's allowing for the killing of babies," said Coyne, calling the measure "just morally and humanly wrong."
Coyne told CNA that he thinks this bill is a response to concern that the Supreme Court may soon overturn the Roe v. Wade decision that found a right to legal abortion in the United States.
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"I think this bill is being enacted out of fear," he said. "I don't think it's being enacted out of trying to enact just laws that are for the common good of Vermont."
The proposed legislation in Vermont is the latest in a series of moves at the state level.
The YouGov/AUL poll was conducted in the immediate wake the Reproductive Health Act, a sweeping new abortion law passed in New York, something AUL president and CEO Catherine Glenn Foster said was reflected in the results.