The bill represents a new attempt to end the state's status as having the country's last statewide "blue law" prohibiting Sunday alcohol sales.
Current law says retailers can only ship wine directly to individual customers if there’s been a face-to-face transaction first where their age was verified.
After a federal judge ruled against allowing convenience stores to sell cold beer, groups pushing for change might have to head back to the legislature.
The Public Policy Committee failed to meet Wednesday, thereby not voting on the measure.
Beer will be sold for between $2.00 to $2.50 a can and projected revenues for the course will be between $18,000 to $36,000 a year.