With the advancement in technology mobility has become a norm. Recent trend towards 5G and increasing popularity of IoT is expected to demand increased mobility support in the network. Information Centric Networking (ICN) treats content as the first class entity and nodes exchange information based on the identity of the content rather than the location of the content. ICN inherently supports consumer mobility and there are many recent works on producer mobility. However, an untouched area of work is ICN's support for network mobility. Network-segments/domains comprising of various networking nodes, consumers and producers can also experience mobility. This can aggravate the problems associated with supporting mobility. In this paper, we propose NeMoI: Network Mobility in ICN, a full fledged ICN based mobility solution with a special focus on network mobility including the case of producers and consumers present within such mobile networks. With evaluations using the RocketFuel1221 topology we show that NeMoI significantly reduces the amount of signalling traffic, routing updates and path inflation compared to existing solutions while ensuring connectivity for mobile nodes.