Spot Removal tool tip (LR): click where the wire starts. It will pick a spot to replace it, but ignore the spot it selects, you will select a new spot. Hold down the SHIFT key and click on the end of the wire! Now that becomes the new selected spot, leading from the start to the end! You may move the original or replacement areas to better cover the wire.
This works best on straight lines, so if your wire curves try several straight line segments.