The document proposes a Covert Flows Confinement mechanism (CFCC) for virtual machine (VM) coalitions in cloud computing environments. CFCC uses a prioritized Chinese Wall model to control covert information flows between VMs based on assigned labels, allowing flows between similarly-labeled VMs but disallowing flows between VMs from different conflict of interest sets. The architecture features distributed mandatory access control for all VMs and centralized information exchange. Experiments show the performance overhead of CFCC is acceptable. Future work will add application-level flow control for VM coalitions.