A packet processor of a network device receives packets ingressing from a plurality of network links via a plurality of network ports of the network device. The packet processor buffers the packets in an internal packet memory in a plurality of queues, including a first queue. In response to the packet processor detecting congestion in the internal packet memory, the packet processor selectively forwards a group of multiple packets in the first queue from the internal packet memory to a first port, among one or more ports coupled to one or more external memories, to transfer the group of multiple packets to a first external memory that is coupled to the first port so that the first queue is stored across the internal packet memory and the first external packet memory.