Chosen Solution

My toilet brush handle has a plastic screw socket that is worned out and now the brush piece doesn’t attach properly to the handle. When I google plastic screw socket I don’t get anything close to the white plastic piece embedded in the handle. Can anyone help me with the right term? I want to buy a replacement for the screw to tighten again.

Find a nut that fits the screw then make the hole in the handle bigger and place the nut in the handle to fit tight then screw back on to the brush.