DaDava You can upgrade your skeleton projects immediately from 3.8 to 4.2.
You can also update the spine-unity runtime from 3.8 to 4.2 immediately in your Unity project. Note that there might have been some spine-unity API changes from 3.8 to 4.0, from 4.0 to 4.1 and from 4.1 to 4.2, listed in sections "Adapting your code to 4.0 API changes" of the respective Upgrade Guide threads linked above. So if you use any of these APIs that have changed, you will need to adjust them accodingly. The Upgrade Guide helps finding all required changes and applying a direct replacement.