As @Cotty wrote, welding the edges is a way to deal with that. I find Eneroth Auto Weld to be indispensible for this because it’ll weld anything that can be welded in a selection. It also automatically welds profiles after Follow Me.
It can also help to export your images from SketchUp at a larger size.
Example: All of the edges in this model had the Auto Weld treatment.