When the user initiates the retrieval of the primary content information item by means of entering a user input into the data processing system, e.g. zapping a digital TV that switches channels upon receipt of the user input, he/she has to wait a noticeable time before the rendering and play-out of the primary content information item actually starts. The length of the delay is predicted, on the basis of which one or more secondary content items are rendered and played out to the user during this delay. The invention can also be used for bridging the waiting time in an online ordering system, when loading a program on a personal computer, and in an IMS-based IPTV network.