Morrisons said it “remains committed to Bradford” despite announcing plans to shut a fruit-packing plant putting 450 jobs at risk.
The supermarket chain will merge its Cutler Heights factory with another site in Northamptonshire.
Concerns were raised in a meeting of Bradford Council.
Labour council leader Susan Hinchliffe said she had asked for a meeting with the firm’s managers about the support being offered to the workforce.
According to the Local Democracy Reporting Service, Ms Hinchliffe told the meeting: “We were all very concerned to hear of nearly 500 people facing the prospect of being made redundant at Morrisons.