A method for self-monitored universal scaling of software network functions involves receiving, at a switch of a network, one or more batches of data units. The network further includes one or more network function (NF) instances of an NF service, and a scaling controller. The switch transmits first data units to an NF instance of the NF service during a first time period. A first distribution associated with the NF instance is updated using the first transmitted data units. Upon determining that the updated distribution has changed such that a first measure of the first distribution is outside of a first confidence interval threshold, the first distribution is reinitialized. The switch transmits second data units to the NF instance during a second time period. The reinitialized first distribution is updated using the second transmitted data units to produce a second distribution associated with the NF instance.