Voting will take place at 7 p.m. at the Omni New Haven Hotel at Yale, 155 Temple St.

Should the union members reject Stop & Shop's offer, they will immediately hold another vote on whether to authorize a strike. The current three-year contract between Stop & Shop and the United Food & Commercial Workers Union will expire Feb. 18.

More than 5,000 employees from Connecticut and Western Massachusetts will be eligible to vote in New Haven.

Four other unions will vote elsewhere in New England next week, with all five unions representing 43,000 Stop & Shop workers.

Over nine negotiating sessions so far, health care coverage has been the only issue discussed, according to Brian A. Petronella, president of Local 371 in Westport.

"We told the company we want to resolve the issue of quality health care insurance for our members before we talk about anything else," he said.

Petronella said union leaders will recommend to members they vote "no." He charged Stop & Shop with trying to make workers pay more for health coverage that is already insufficient.

"For the last 30 years, they have always negotiated a set contribution rate that they would pay into the union's Taft-Hartley fund," Petronella said, referring to the trust fund used by unions to pay out member benefits including health care.

"But this time around they want our members to contribute out of their paychecks into the fund, in addition to making a monthly contribution," he said.

Stop & Shop spokeswoman Faith Weiner said the company plans to continue negotiations next week.

"We understand the unions plan to take a strike vote on Monday, but it is our hope they will come to the table to talk meaningfully about the issues next week," she said.

Petronella also said Stop & Shop also wants to charge members an extra $50 a month for health care coverage if their spouses work at a job that provides health care benefits they do not subscribe to.

Stop & Shop also wants to extend the time part-time workers must wait before they receive health care coverage from one year to two years, he said.

About 80 percent of the unionized Stop & Shop workers are part-timers, he said.