Is the veil ever lifted, and if yes, when?

In LDS theology, what makes us forget our premortal existence is called the "veil of forgetfulness". Is there any indication in LDS doctrine when, if ever, this veil is lifted again? - It doesn't seem to be at death, since the purpose it has still continues on for as long as people need to decide whether they want to follow Jesus. - Is it at the resurrection then? I see no indication that "simply" being resurrected lifts the veil, I am not aware of any messenger referencing their own premortal existence. Apart from Jesus and God himself revealing it. - There also doesn't seem to be a point in NEVER lifting it. Its purpose is fulfilled after the Judgement. Also, the celestial world is described as having knowledge of all things, past, present and future. So, I would expect the veil to be lifted at SOME point. So, has there been so far any indication as to when the veil is lifted? Is it at/after the judgement?