A trim unit includes a delay line and one or more individually selectable load elements. The delay line has a first end to receive an input clock signal, and has a second end to generate an output clock signal. Each load element includes a select transistor and a load capacitor coupled in series between the delay line and ground potential, and includes a filter circuit having an input to receive a select signal and having an output coupled to a gate of the select transistor. Upon assertion of each select signal, the filter circuit gradually charges the gate of the select transistor, which in turn causes the load element to gradually increase the phase-delay between the input and output clock signals.