It sort of depends on how permanent you want it. For costuming or articles that won't be washed a lot, I think you would be pretty good. I am mostly familiar with quilting sprays that dissipate. Not sure how well it would work if you are trying to permanently line the t-shirt.
Just look for the term "permanent" instead of "temporary". Some of the adhesives are designed for different uses (like attaching trims/gems to fabric) and some may work better for what you want. Here a couple choices --
https://www.aleenes.com/aleenes-fabr...hesive-4-fl-oz
https://www.gorillatough.com/product...a-fabric-glue/
Many brands -- Elmer's makes a spray and maybe regular glue will work too.
You would need to check to see if it discolors/can be seen through the minkee, I would guess that most would show through the tshirt.