I'm having my indented forehead veins treated with sclerotherapy. Will this make the indents worse?

I have indents on my forehead where the veins are. A vascular surgeon has said he will remove the veins with sclerotherapy and the gulleys, which he says are caused by the veins expanding should naturally fill in. I'm worried that removing them will make the dents deeper. Is it likely that the dents will fill by themselves and if so how long would that take?