One embodiment relates to a message management method comprising an interception process for intercepting a first message sent to a device of a user; an estimation process for estimating a level referred to as the “user interruptibility level” representing the extent to which the user can be interrupted in their current activity; an estimation process for estimating a level of importance of the first message; and a processing process for processing the first message as a function of the user interruptibility level and of the importance level of the first message.