An apparatus for increasing scheduling efficiency in network devices may include (1) at least one memory device that stores at least one data chunk included in a packet, (2) a scheduler device that (a) schedules transmission of the packet that includes the data chunk and (b) issues a request to transmit the packet based at least in part on the scheduled transmission, and (3) a packet-delivery device that (a) receives the request to transmit the packet from the scheduler device, (b) prepares the packet for transmission at a faster rate than the scheduler device schedules the transmission of the packet, and then (c) facilitates transmitting the data chunk included in the packet to a computing device. Various other apparatuses, systems, and methods are also disclosed.