Hypervision is being widely implemented in an effort to control costs and to simplify management through consolidation of servers. It has been recently unraveled that well over a third of virtualization vulnerabilities reside in the hyper-visor, mostly due to hypervisor escape. The exploitation of these vulnerabilities allows an attacker, among other things, to access and/or modify data of other Virtual Machines (VMs) by escaping from its VM and executing malicious code in the hypervisor. This paper introduces the general idea of blind hypervision, a hardware/software co-design to prevent such attackers to access private elements of other VMs. Blind hypervision limits the rights of the hypervisor regarding memory access, so that a malicious agent executing with hypervisor rights cannot access the data of the VMs.