Do I need to take my lip piercing out before I get lip fillers? (photos)

I'm booked in to get lip injections on 9th June. I'm getting 1ml. I have a vertical labret piercing which goes directly through my bottom lip. I know I'll have to take it out while I have the procedure done but I'm just wondering on whether it will affect the fillers in any way whatsoever and if so should I take my piercing out now so it has time to heal over (it will heal within a few days) . Also would I be able to put the piercing back in after the injections? or have it re-pierced? Thanks