Seasonal jobs that might turn permanent - 15 weeks in

A retailer and two warehouses near Tulsa are hiring seasonal staff. I would like to avoid a gap in my résumé. Is it worth applying to several at once?

I was converted after one season because I showed up every day and volunteered for extra shifts. Managers remember that.

Keep a list of supervisors' names. A reference from one of them helped me land my next job.