Non-hyperbolic generalised moveout approximation is a powerful tool to approximate the travel-time function by using information obtained from two rays. The standard approach for parameter selection is using three parameters defined from zero-offset ray and two parameters obtained from a reference ray. These parameters include the travel time and travel-time derivatives of different order. The original parameter selection implies more fit at zero offset compared with offset from a reference ray. We propose an alternative approach for parameter selection within the frame of generalised moveout approximation by transferring more fit from the zero offset to a reference ray by changing in parameter selection. The modified approximation is tested against the original one in few analytical model examples, including the multi-layered model.