The present article focuses on the pragmaticalisation of the French temporal phrase à un moment donné (“at one point”, “at a given moment”), and more particularly on one question (that was left unresolved by a previous study) about the role of the adjective donné (“given”). We hypothesize that it plays in favor of a greater subjective implication (favouring thus the pragmaticalisation of the phrase). We verify this hypothesis by a systematic examination of à un moment vs. à un moment donné, based on the oral part of the Corpus Study for Contemporary French. We also consider other possible variants: variants with il y a ("there is”) (il y a un moment (donné) | “there is a given moment”) or without the preposition à (“at”) (un moment (donné) | “a given moment”).