In this position paper we propose to extend an existing delegation-based machine model with concurrency primitives. The original machine model which is built on the concepts of objects, messages, and delegation, provides support for languages enabling multi-dimensional separation of concerns (MDSOC). We propose to extend this model with an actor-based concurrency model, allowing for both true parallelism as well as lightweight concurrency primitives such as coroutines. In order to demonstrate its expressiveness, we informally describe how three high-level languages supporting different concurrency models can be mapped onto our extended machine model. We also provide an outlook on the extended model's potential to support concurrency-related MDSOC features.