Hi there, I use cold pressed coconut oil to get off adhesive but I do not know if it will take it out of your sheets.
I hope it works for you.
Here is a way to remove adhesive from microfiber furniture so believe it would work on sheets..
Hi Kathie! Have you tried Dawn dish detergent? I've had good luck removing sticky adhesive from clothing with it. Work it in really well, let it work and then wash in the hottest water you can with this fabric. Don't put it in the dryer until you have removed all of it. I use Goo Gone if that doesn't work, and then remove the residue of the Goo Gone with the Dawn.