They may permanently go up, but as a precaution, I would definitely recommend taping now. Regular breath-right strips (make sure they are regular, other kinds won't work) and eyelash glue work well.
Apply the eyelash glue to the sticky side of the breath-right strip.
Place two strips in each ear vertically, on each of the creases.
They tend to scratch them off, so you'll have to be consistent with reapplying them.
Varick vom Haus Jeffery
Dark Sable, intact male
DDR/West German Show Lines