Company wants to open a credit card using my social

I picked up a side gig with a rather new company and they asked me for my social in order to give me a company credit card for expenses like gas. So far everything through the hiring process has been late so I’m a bit worried about them paying off the card which I would imagine could affect my credit score. Is this a realistic fear? Is there a better way of going about getting expenses paid for that doesn’t require paying out of pocket/reimbursement or creating a card in my name and SS#? Any other considerations I am missing? Thanks