A TCP acceleration apparatus includes input queues each having a service level and storing at least one session packet list having packets from a same TCP session. The apparatus also includes a distributor connected to the input queues and to the client and configured to retrieve a session packet from a session packet list at a top of an input queue for transmission to the client. The input queue at the service level selected by the distributor moves the session packet list at a top of the input queue to a bottom of the input queue after the session packet is retrieved by the distributor. Acceleration apparatuses including other features, as well as a method, computer program product and system for TCP acceleration are also discussed.