I've been taking levothyroxine for a couple of years already due to total thyroidectomy. When should I have laser hair removal?

Last month i decided to get my underamrs lasered and is due to get my 2nd session this week.My concern is that next month i have to stop my med becasue i have to get some blood tests done.Im afraid my 2 sessions of laser will just go to waste because of my body hair falling off when i stop my med and regrowing when i resume. So, is it better if i just continue my laser sessions after my blood tests or is it okay If i get my 2nd session this week!Thanks!