Can eye neovascularization constrict?

Question

Hi,  I've developed neovascularization in the white part of my eye due to over use of contact lenses in a year.  My cornea is said to be fine. But these blood vessels in the white fill up with blood randomly and sometimes looks like I have a bloodshot eye. Can these vessels constrict and hardly show or will my eye be red forever? I have stopped wearing contact completely now for 4 months already  

Thanks!