In one aspect, a system for removing blockages present within a delivery conduit of a seeder may include a plurality of delivery conduits, a plurality of flow blocking devices, and a plurality of blockage sensors. A controller may be configured to determine when a blockage is present within a first delivery conduit of the plurality of delivery conduits based on measurement signals received from the plurality of blockage sensors. The controller may be further configured to control the flow blocking devices to occlude the flow of air through the other delivery conduits of the plurality of delivery conduits such that an air pressure in the first delivery conduit is increased.