A controllable delay clock buffer that provides spread spectrum modulation of the output signals with zero cycle slip includes a PLL having a PLL loop filter that comprises an RC network. A clock signal is input to the PLL, and a SS modulation frequency is injected into the capacitor of the PLL loop filter. The SS signal is provided by a secondary charge pump that produces a programmable waveform such as a square wave or a stair case square wave current signal. The programmable waveform is integrated by the loop filter capacitor to form a corresponding triangular or trigonal waveform which varies the input to the VCO of the PLL to define a frequency modulation profile that has a corresponding triangular or trigonal envelope. The bandpass profile of the SS modulation signal is at a higher frequency range than the lowpass profile of the PLL, so that the SS waveform profile is not distorted or cancelled by the PLL.