Temp-to-hire openings around Tucson - what worked for you?

A staffing agency says some roles convert to permanent after 11 weeks. I am in Tucson, in case local advice matters. I would like to avoid a gap in my résumé. Which employers treat seasonal workers well?

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

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