A media processing system is arranged to process image receiving media under predetermined physical conditions. The system includes a scheduler arranged to schedule jobs to be processed in the system and to calculate predicted timings (T0) at which media will have to be ready for processing and to indicate the predicted timings on a user interface. The system further includes a buffer in which a supply of media that has been received from a first environment is kept in a specified second environment before being processed. The scheduler is configured to calculate an acclimatization time required for the media to acquire the predetermined physical conditions by being kept in the second environment in the buffer, and to calculate and indicate a predicted timing (T1) at which the media should be present in the sheet buffer at the latest in view of the calculated acclimatization time.