The present work proposes a self-bias compensation technique for the frequency supply voltage dependence in low cost charge/discharge oscillator topologies. The main bias current of the oscillator will include a supply voltage dependent current. The main goal is to reduce the supply voltage dependence for a range between 1.6 and 2V, for a current starved ring oscillator and a new charge/discharge modified topology. The added circuitry reduces significantly the frequency spread and has very low contribution to the current consumption and total area of the block.