Method for operating a temperature swing adsorption plant comprising three adsorption units (1, 2, 3), which are operated out of phase with respect to one another, in each case in an adsorption phase, then in a feed phase, then in a regeneration phase, then in a flush phase, and then in a cooling phase, wherein - in the adsorption phase, a first gas mixture at a first temperature level is guided over an adsorbent in the adsorption units (1, 2, 3) to obtain a second gas mixture, and components of the first gas mixture are adsorbed by the adsorbent, - in the regeneration phase, the adsorption units (1, 2, 3) are heated to a second temperature level above the first temperature level, and the components adsorbed onto the adsorbent in the adsorption phase are desorbed in part or completely, - in the flush phase, the components desorbed in the regeneration phase and present in the adsorption units (1, 2, 3) after the regeneration phase are flushed out in part or completely by means of a third gas mixture to obtain a fourth gas mixture, and - in the cooling phase, the adsorption units (1, 2, 3) are cooled at least in part to the first temperature level, characterized in that - in repeated first operating periods, which alternate with second operating periods, in each case simultaneously one of the adsorption units (1, 2, 3) is operated in the adsorption phase, one of the adsorption units (1, 2, 3) is operated in the flush phase, and one of the adsorption units (1, 2, 3) is operated in the feed phase, and - during the first operating periods, a portion of the second gas mixture is supplied to the adsorption unit operated in the flush phase as the third gas mixture or as a portion of the third gas mixture, and the fourth gas mixture or a portion of the fourth gas mixture is supplied to the adsorption unit (1, 2, 3) operated in the feed phase. - in the adsorption phase, a first gas mixture at a first temperature level is guided over an adsorbent in the adsorption units (1, 2, 3) to obtain a second gas mixture, and components of the first gas mixture are adsorbed by the adsorbent, - in the regeneration phase, the adsorption units (1, 2, 3) are heated to a second temperature level above the first temperature level, and the components adsorbed onto the adsorbent in the adsorption phase are desorbed in part or completely, - in the flush phase, the components desorbed in the regeneration phase and present in the adsorption units (1, 2, 3) after the regeneration phase are flushed out in part or completely by means of a third gas mixture to obtain a fourth gas mixture, and - in the cooling phase, the adsorption units (1, 2, 3) are cooled at least in part to the first temperature level, - in repeated first operating periods, which alternate with second operating periods, in each case simultaneously one of the adsorption units (1, 2, 3) is operated in the adsorption phase, one of the adsorption units (1, 2, 3) is operated in the flush phase, and one of the adsorption units (1, 2, 3) is operated in the feed phase, and - during the first operating periods, a portion of the second gas mixture is supplied to the adsorption unit operated in the flush phase as the third gas mixture or as a portion of the third gas mixture, and the fourth gas mixture or a portion of the fourth gas mixture is supplied to the adsorption unit (1, 2, 3) operated in the feed phase.