bob_loblaw’s rules of sexual etiquette #78:
the definition of “overcome” is: where i make my partner sleep.
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mangeorge, you’ve managed to make me laugh tonight. Consider yourself a professional (if you don’t already).
Can’t you just yank off the offending sheet and replace it with a clean, dry one?
My husband and I have never argued over the wet spot - we usually just change the sheet, or the person who’s most likely to, um, dribble (me) runs to the bathroom in a hurry; I certainly wouldn’t want to sleep on the wet spot. It gets cold and gooey. Ick.
I am with Johnny L.A.. Just a little bit of planning required here. You have to remember to grab a towel before you get into the act. Just be sure that you don’t push the towel off the bed. It can be quite frustrating trying to reach for a towel on the floor while still trying to keep the plug in.
Most times I just stretch a towel below her butt and then enjoy post coital bliss while the stuff dribbles away merrily.
If you lie on the wet spot right away it doesn’t have a chance to get cold, and you don’t notice the sticky. Your body’s pumping out significant heat at that time. It (the spot) actually goes away pretty quickly.
The above mentioned towel also works great, especially if you’re relieving her menstrual cramps. 
Get out of bed and change the sheet? I dunno. Most of my exes preferred “snuggle bunnies” after the lovin’.