Creating a pooled resource for Dependency Injection

Currently, we have AddSingleton(), AddScoped(), and AddTransient() to generate resources in DI.

Is there a way to request a new feature for an AddPooled() which will allow us to create and reuse unused instances from a pool?

I have a class that has an expensive creation (a little over 5 seconds) that cannot be instantiated as a singleton. I don't need it to maintain any state, so it would be an ideal candidate for a pooled resource in DI.