The 'monolith' (which I find a silly term but I'll use it here) can expose different parts of itself as services. As long as those services can be versioned and are backwards compatible, you can deploy the monolith using any schedule or notification mechanism you like.
If the monolith is composed of modules with a DAG-like dependency structure (e.g. maven projects), then pieces of the monolith can be deployed alongside the dependencies they need.
