You could also just use the Illinois Unemployment Insurance Law Handbook It’s HUGE. I just use the search function to find what I’m looking for. In your case .. You’ll want to read about “refusal of work” and “suitable work”. It’s doubtful a refusal of a minimum wage job would be disqualifying .. but you are wise to ask because as time goes by .. we are expected to lower our standards. Other things to consider other than wages can be found under refusal of work .. good cause or the lack of it are explained.