I stitch a lot of in-the-hoop (ITH) projects, many of which
require floating pieces on no-show mesh or fabric-type water-soluble
stabilizer. Both of these are extremely thin and can sag or loosen in the hoop,
no matter how tight you make it.
By their very nature, ITH projects require that you remove
and replace the hoop often. That also adds to the chance of your stabilizer
slipping a bit during handling.

We have discussed T-pins and double-sided
tape as ways to help keep stabilizer and fabric from slipping in the
hoop. I found another option that works really well - vet wrap or self-adhesive
bandage wrap.
The thin, textured wrap grips to itself without leaving any
adhesive residue behind and is available in a variety of sizes and pretty
colors. I purchased the one-inch size to try.
Some recommended putting it in the corners of the hoop but I
don’t have issues with slippage there. The sides are my trouble areas,
especially with larger hoops where the sides are extremely long.

I started by wrapping the inside hoop along the long sides,
overlapping edges of the tape slightly. Don’t wrap it too thickly or your
corners will be loose. By the way, the Hoop Mat by dime is a very useful hooping tool.

Now, hooped thin stabilizers, whether they are no-show mesh
or fabric-type water-soluble, will stay secured in the hoop.

Don’t wrap the outer hoop, because the wrap may grip or drag
on your embroidery machine surface instead of moving freely. Wrapping the inside
hoop provides a layer of stabilizer between the wrap and the machine.
When the wrap needs changed, or you don’t need it when
hooping several layers of fabric, batting, and stabilizer, just unwrap it.
Debbie SewBlest