A method for operating an autonomously driving vehicle that is connected to a central computer unit via a communication connection for exchanging data. During the autonomous driving mode, a request to take over a driving task is emitted to a vehicle user when at least one takeover condition is fulfilled. The takeover condition is fulfilled when it is established that the communication connection to the central computer unit is disrupted on a route portion that exceeds a predetermined length and on which the vehicle is located or which the vehicle is approaching.