Jenni Crowly, from Flintshire, told Mold County Court staff at the Mold store refused to help her because they were not insured.
She is now suing the supermarket giant under the Disability Discrimination Act saying the rules make it impossible for her to use the free air service.
Tesco said it had an arrangement with a tyre shop to help disabled drivers. Solicitor advocate Toby Starr, for the supermarket grou, said that the store did not provide a tyre pumping service to anyone. It was a facility and not a service.
Tesco was not a garage and if it inflated tyres then it would have to have extra trained staff in order to do so and substantially alter its business, he told the court.
The company did not help anyone to pump their tyres and was not being discriminatory, he added.