A method for operating a winch comprising a winch drum for spooling a spoolable medium for mooring a vessel, the method comprising: monitoring a tension of the spoolable medium between the vessel and a point of mooring; in response to the monitored tension of the spoolable medium becoming higher than a first upper tension threshold (T1u) or lower than a first lower tension threshold (T1l), initiating, either immediately or after a first predetermined delay, driving of the winch drum, wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is higher than a predetermined tension set point (Sp), which has a value between the first upper tension threshold and the first lower tension threshold, the winch drum is driven in such a direction that the spoolable medium is spooled out, and wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is lower than the predetermined tension set point (Sp), the winch drum is driven in such a direction that the spoolable medium is spooled in; and in response to the monitored tension of the spoolable medium being, during the driving of the winch drum, between the second upper tension threshold (T2u) and the second lower tension threshold (T2l) for a second predetermined delay, stopping the driving of the winch drum, characterized in that during the driving of the winch drum, at least when the monitored tension of the spoolable medium is between a second upper tension threshold (T2u), which has a value equal to or lower than the first upper tension threshold (T1u) but higher than the predetermined tension set point (Sp), and a second lower tension threshold (T2l), which has a value equal to or higher than the first lower tension threshold (T1l) but lower than the predetermined tension set point (Sp), an absolute value of the driving speed of the winch drum has a value that is proportional to an absolute value of a difference between the monitored tension of the spoolable medium and the predetermined tension set point (Sp). monitoring a tension of the spoolable medium between the vessel and a point of mooring; in response to the monitored tension of the spoolable medium becoming higher than a first upper tension threshold (T1u) or lower than a first lower tension threshold (T1l), initiating, either immediately or after a first predetermined delay, driving of the winch drum, wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is higher than a predetermined tension set point (Sp), which has a value between the first upper tension threshold and the first lower tension threshold, the winch drum is driven in such a direction that the spoolable medium is spooled out, and wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is lower than the predetermined tension set point (Sp), the winch drum is driven in such a direction that the spoolable medium is spooled in; and wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is higher than a predetermined tension set point (Sp), which has a value between the first upper tension threshold and the first lower tension threshold, the winch drum is driven in such a direction that the spoolable medium is spooled out, and wherein, during the driving of the winch drum, when the monitored tension of the spoolable medium is lower than the predetermined tension set point (Sp), the winch drum is driven in such a direction that the spoolable medium is spooled in; and in response to the monitored tension of the spoolable medium being, during the driving of the winch drum, between the second upper tension threshold (T2u) and the second lower tension threshold (T2l) for a second predetermined delay, stopping the driving of the winch drum, characterized in that during the driving of the winch drum, at least when the monitored tension of the spoolable medium is between a second upper tension threshold (T2u), which has a value equal to or lower than the first upper tension threshold (T1u) but higher than the predetermined tension set point (Sp), and a second lower tension threshold (T2l), which has a value equal to or higher than the first lower tension threshold (T1l) but lower than the predetermined tension set point (Sp), an absolute value of the driving speed of the winch drum has a value that is proportional to an absolute value of a difference between the monitored tension of the spoolable medium and the predetermined tension set point (Sp).