Data dissemination and service access constitute the primary usage of the Internet today, whereas the associated protocols (TCP/IP) are designed for point-to-point communication. Content-Centric Networking (CCN) has been proposed to overcome this limitation in the existing Internet protocols. CCN omits the notion of host and location by establishing contents as the first class citizens of the network. Furthermore, and to improve content delivery, CCN advocates in-network caching, i.e., to cache contents on the path from content providers to requesters. This on-path caching achieves good overall performance, however, and as we demonstrate in this paper, this strategy is far from being the optimal inside a domain. Instead, we introduce the notion of off-path caching by allowing deflection of the traffic off the optimal path towards off-path caches available across the domain. Off-path caching improves the global hit ratio and permits to reduce the peering links' bandwidth usage without impacting the delay or overloading intra-domain links. We validate our theoretical results with simulations on real topologies and we propose an optimal as well as heuristic off-path caching techniques.