Systems and methods for selectively disabling anti-replay security checks based on a defined network policy that can override the globally-defined defaults for specific network sessions are provided. A network security device protecting a private network receives a packet associated with a network traffic flow between a source computing device and an internal destination computing device. The network security device identifies an anti-replay policy associated with the network traffic flow and whether the anti-replay policy is intended to override a global anti-replay policy of the network security device. When the identifying is affirmative, the network security device performs one or more anti-replay security checks in accordance with the anti-replay policy. When the identifying is negative, the network security device performs the one or more anti-replay security checks in accordance with the global anti-replay policy.