There is a sense in which you are mixing the LFO into your audio path - so you will always get a certain amount of feed-through - however, perhaps this is not the "tick" that is bothering you.
I would look at the biasing of Q2. It is being driven by the phase-shift oscillator - presumably at a few volts signal level ? The output of the oscillator is then A.C. coupled into Q2 - so the gate of Q2 will be swinging both positive and negative about ground potential. I believe Q2 is a JFET (?) in which case the gate will go into forward conduction when the signal swings positive with respect to its source pin - I think this is where your ticks are coming from. You need to move the biasing of Q2 such that gate does not conduct.