IPerformContextAccessor like IHttpContextAccessor

Is it possible to have something like IHttpContextAccessor in ASP.NET (let's call it IPerformContextAccessor ) where we would be able to inject it to get current job execution context?

For example we have IUser interface that resolves by injecting IHttpContextAccessor and reading claims for current user.
For hangfire scenario we would like to do the same but instead of reading claims from HttpContext we would like to access job information.

Is this possible to achieve?

The issue names no files, tests, or entry points. Start by determining whether Hangfire exposes a current job execution context that could support an injectable accessor like IHttpContextAccessor. Done would require an agreed accessor design and documented behavior for resolving the current job context.

Written by the indexing model from the issue text.