The present invention relates to a method for playing on a player of a client device (11) a content streamed in a network (1), said content consisting of a sequence of segments available in a plurality of quality levels, the player being configured so as to choose the quality level of the segments as a function of at least one parameter representative of a segment reception rate, according to an Adaptive BitRate, ABR, logic of the player; the client device (11) comprising a first buffer (M1) for storing segments in a format adapted for transferring within the network (1), the method being characterized in that it comprises performing by a processing unit (110) of the client device (11):
(a) receiving from the player a request for a current segment at a first quality level;
(b) estimating, fora second quality level, an optimal response delay such that providing the requested current segment at the expiration of said optimal response delay will cause the player to request according to its ABR logic a next segment at said second quality level, as a function of a model trained from a database of training examples each associating a vector of measured parameters representative of a segment reception rate with the corresponding quality level subsequently chosen by the player according to its ABR logic;
(c) providing the requested current segment from the first buffer memory (M1) at the expiration of said estimated optimal response delay.