I think sewing over tissue paper with the teflon foot would work...the walking foot might try to bumch up the paper.

Tissue paper will work.

I keep a stack of tissue paper for this type of problem. I have a box that I throw all the big cutaway pieces from clothing patterns in. Also, any extra gift wrap tissue. It is easy to tear away after I stitch but provides a nice glide to the foot. But, when I work on vinyl, I use a teflon foot and don't usually have a problem.

I have made a lot of T-shirt quilts and I do try to avoid stitching over the design areas. What I use when I have to stitch near them or for some other reason must get close, is waxed paper; kitchen variety. It's cheap, see thru and the stitching foot glides right over it. It also tears away easily. To tear it away, I run the point of my seam ripper along the stitching line, give it a tug and off it comes.
The reason I sometimes have to sew near the design is that I like to "quilt" each T-shirt design by stitching around it and highlighting different sections of the logo before I stitch the squares together into the quilt top or add the sashing strips if using them.

I've used tissue paper to stitch on vinyl and its worked great. You just tear it off when you are done.

Stitch around the logos. It really makes them "pop" and stand out.

I've made 4 t-shirt quilts and always stitch around the logo. I also think waxed paper is good for stitching over the designs but really don't recommend it.

I tried the wax paper and it worked like a charm! I had a box of waxed paper around that I've been looking to use up, anyway, because I like parchment paper better for baking. When I run out of it, I'll probably use tissue paper. Thanks to all so much! You saved me! Once again this group came through for me!

Since I always use the waxed paper, I am just curious why you don't recommend it. Have you had issues with it that so far I have been lucky to avoid? If anyone has had a problem, let me know so hopefully I can be aware up front. LOL