I'd make NO promises when replacing the tires, in fact, for liability purposes I would probably have them sign off that the tires installed will have no traction when traveling on an oily/wet floor.
Trust me- if there's even a hint that your replacement tires will help the situation & then the truck slips & hurts someone you'll be calling your lawyer.
This is ONLY to be used to report flooding, spam, advertising and problematic (harassing, abusive or crude) posts.