In [Ergodic Theory Dynam. System, 16 (1996) 663 13;682], S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card S ≤3²⁷. In this paper, we improve this result by giving an S-adic characterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.