A computer-implemented method, in a content delivery (CD) network that delivers content on behalf of multiple content providers. The method includes, at a server in the CDN, wherein the server is currently processing at least one other request in at least one other session: receiving a connection request from a client, the connection request being associated with a corresponding content request; determining whether handling the content request will cause the server to become overloaded; and, based on the determining in (B) and on information about the content request, conditionally (i) accepting the content request, and (ii) terminating or throttling at least one session on the server.