Modern computer viruses spread incredibly quickly, far faster than human-mediated responses. This greatly increases the damage that they cause. This paper presents an approach to restricting this high speed propagation automatically. The approach is based on the observation that during virus propagation, an infected machine will connect to as many different machines as fast as possible. An uninfected machine has a different behaviour: connections are made at a lower rate, and are locally correlated (repeat connections to recently accessed machines are likely).