if he played on 22.8 and 25.8 this training minutes would have count for the last week, if he play today or on 29.8 in the other teams his minutes will count for oyour training this week even when he get them in this one.
Maybe you buy him betwenn the game of your and his club, so that still the old minutes stand in the weekly stats, but these will disappear after the first game he got in this week.