u/Faux-pa5

For a story I'm working on...
I've got most of the general blood draw procedure down but according the NHS website, after pressure with cotton wool, they'll apply a plaster (what we call a Band-Aid in the US).
Seems like that wouldn't stick to your inner elbow?
What actually happens in practice?
Here in the US we use self-adhesive tape that wraps around the elbow.
Thanks in advance!

ETA: Thanks everyone, I think I have the info I need!! You all are amazing.