I don’t think you can establish dependency across suites.
A quick way of doing this would be to store the state into a singleton which would then be queried by the suites to determine if they can proceed further or not.
So the parent suite would set the state which the child suite would query. I don’t remember at the top of my head if the ordering is guaranteed when running a suite of suites wherein the master suite is just a container to house child suites.
You might want to keep an eye out on that aspect as well.
Hope that helps.