But maybe not the insurance. Karl Dolenc/iStockphoto hide caption toggle caption Karl Dolenc/iStockphoto Shots - Health News Part-Time Workers With Minimal Health Coverage Get New Options Kaiser Health News November 26, 2013 Many health insurance policies for part-time workers will end next year and won't be renewed. Better quality choices will likely be on the menu for these workers, though they are also going to cost people more.