Use "morph target" to create animation blending different textures?

Here is the animation that I want to achieve:
I have mesh A with texture A, mesh B with texture B.
the two meshes A, B share the same topology (same number of vertices, same connectivity),
therefore, I can calculate the morph target "positions" to linearly animate mesh A into B.

However, I cannot find a way to apply the "Linear" interpolation between texture A and B.
Because the texture is only specified in the primitive mesh and not on the target.

Can anyone let me know if it's possible to achieve such animation with glTF 2.0?
it's basically a linear interpolation between both geometry and texture.
Really appreciate it.

No files, tests, or implementation entry points are mentioned. Start by reading the glTF 2.0 definitions for morph target positions, primitives, and textures, then determine whether the requested geometry-and-texture interpolation is supported; done means providing a documented answer or a clearly scoped specification change.

Written by the indexing model from the issue text.