A number of rabbis in Massachusetts, Connecticut and Rhode Island have been advising their congregations not to cross picket lines to buy Jewish holiday essentials at the store that one analyst said has the highest sales of kosher products among New England grocery stores. More than 30,000 Stop & Shop workers walked off the job April 11 over what they said is an unfair contract offer, a claim the company disputes.

“The food that you’re buying is the product of oppressed labor and that’s not kosher,” said Rabbi Barbara Penzner, of Temple Hillel B’nai Torah, a reconstructionist synagogue in Boston. “Especially during Passover, when we’re celebrating freedom from slavery, that’s particularly egregious.”

Rabbi Jon-Jay Tilsen, of Congregation Beth El-Keser Israel, a conservative synagogue in New Haven, Conn., cited ancient Jewish law prohibiting artisans from taking the livelihood of fellow artisans.

Tilsen said that ban is akin to the use of replacement workers by companies during labor strikes, which Stop & Shop has employed. “I am not making any judgment about the current strike,” he stressed. “I am stating that we, local Jews, must respect the workers’ action.”

But at Temple Shalom, a reform synagogue in the Boston suburb of Newton, Rabbis Allison Berry and Laura Abrasley said it’s ultimately a personal decision, though one they suggest should be framed within the American Jewish community’s long history of supporting organized labor.

“Jewish law is interpreted in different ways,” they said via e-mail. “We encourage our members to celebrate the upcoming holiday in a manner that honors both the Jewish value of freedom and workers’ dignity.”

Penzner and other rabbis acknowledge their call to avoid the ubiquitous grocer can be challenging for some, especially in more remote communities where Stop & Shop is the most affordable — and sometime the only — kosher food supplier for miles.

The dilemma isn’t unique to Jews, either.

Rev. Laura Goodwin, of Holy Spirit Episcopal Church, in Sutton, Mass., said she had ordered the church’s Easter flower arrangements from the nearby Stop & Shop weeks ago. But when it became clear the strike wasn’t going to end before the holiday, she scrambled to purchase enough tulips, hyacinths and daffodils from other stores.

“I just personally wasn’t comfortable crossing the picket line,” Goodwin said. “Flowers are nice, but they’re not as important as people’s livelihood.”

The religious protests could have significant consequences for the bottom line of the Quincy, Mass.-based chain, said Burt Flickinger, a grocery industry analyst for the Strategic Research Group.

Stop & Shop, which operates about 400 stores in New England, New York and New Jersey, is owned by the Dutch supermarket operator Ahold Delhaize but was founded in the 1900s by a Boston Jewish family whose descendants remain major philanthropists and civic leaders in New England.

Flickinger estimates the company has been losing about $2 million a day since the strike started, a financial hit that will only magnify in the coming days. Passover and the Christian holiday of Easter typically represent about 3% of the company’s annual sales.