A water filter for a refrigerator appliance with a sensor embedded in the water filter and related methods of detecting a leak in the refrigerator appliance are provided. Such methods include, and the refrigerator appliance may be configured for, measuring, by the sensor embedded in the water filter, at least one of water pressure in the water filter and flow through the water filter. A rate of change of the at least one of water pressure in the water filter and flow through the water filter over time is calculated. When there is no system demand for water, a leak is detected based on the increase in the rate of change over time.