Deviation from the desired drilling trajectory may cause operational problems. Real-time monitoring of the drill bit position helps in mitigating these issues. In this study, we suggest a seismic-while-drilling (SWD) method to detect the (near) real-time drill bit position. We use a homogenous model typical for hard rock environments and conduct 3D finite-difference modeling of elastic wave propagation. We introduce a receiver array at the surface and a drill bit source at different depths deviating from its vertical trajectory. By cross-correlating the records in respect to a virtual source location, we obtain differences of arrival times at a given trace versus arrival times at the virtual source location. The correlation image presents a hyperbola where the apex indicates the horizontal location of the source, i.e. the closes drill-bit receiver path. Considering a 2D orthogonal array, and a 3D array, we show the possibility of monitoring and estimating the horizontal location of the drill bit.