If you hear running water sounds coming from your refrigerator, even though it doesn't have a water dispenser, there could be a few possible explanations:
Automatic defrost cycle: Many refrigerators have an automatic defrost cycle to prevent ice buildup on the evaporator coils. During this cycle, the refrigerator may produce a gurgling or running water sound as the melted ice drains into a pan or reservoir located at the bottom of the unit.
Condensation drainage: Refrigerators generate condensation as part of their cooling process, and this water needs to be drained away. There may be a drain tube or channel inside the refrigerator that carries this water to a pan at the bottom of the unit. The sound you hear could be the water flowing through this drainage system.
Ice maker-related sounds: If your refrigerator has an ice maker, it could be responsible for the running water sound. The ice maker periodically fills with water to produce ice cubes. Even if you don't have a dispenser on the exterior of the refrigerator, the water supply line for the ice maker could still be causing the sound as it fills the ice maker's reservoir.
Water supply issue: In some cases, the running water sound may be unrelated to the refrigerator itself. It's possible that you have a nearby plumbing fixture or pipe that is causing the sound, and it is being mistaken for coming from the refrigerator. This could include a faulty faucet, a running toilet, or even a leaky pipe.
If the sound is concerning or persists for an extended period, it may be helpful to consult the refrigerator's user manual or contact the manufacturer's customer support for more specific information about your particular model.