The invention relates to a DLL circuit for providing an adjustable time delay of a periodic input signal, said circuit having controllable delay elements which are connected in series and form a delay chain, having a phase detector in order to generate a control signal on the basis of the periodic input signal and a periodic signal which has been delayed by the delay chain, the delay of each of the delay elements being adjusted on the basis of the control signal, and having a selection unit which is respectively connected to one of the delay elements in order to apply an output signal from one of the delay elements to an output of the DLL circuit on the basis of a selection variable which has been provided, and a compensation circuit which modifies the selection signal such that an additional delay (which is caused at least by the selection unit) between the periodic input signal and the output signal from the DLL circuit is compensated for.