Thanks for the replies :)
It may be possible to bring out the wart before its blooming time (I haven't had a wart in many years so I can't check it for you)
Try soaking the wart (your hand) in
hot water until your fingers go all pruney. My thinking is that the wart will think that conditions are good for it to spread, and open up.
When I first had warts I tried pulling them out with a pliers, it was so painful I could not complete even one fully.
Glad I discovered this method though, getting the seeds out is so easy.