Laser welding with beam oscillation has become popular to enhance the weld quality, which not only does the homogeneous mixing in the weld zone but also improves the joint strength. In addition, laser beam oscillation/laser wobble welding can help in controlling the penetration depth/interface width. An analytical approach can help in understanding the effect of laser wobble parameters at early design stage. In this paper, an analytical model has been developed using mathematical understanding of the laser material interaction with the wobbling parameter. This model can be used for predicting the weld depth profile for a given set of process parameters. This model is used to determine the heat distribution, weld morphology and the depth of penetration. Increasing the wobble amplitude and frequency, interaction time gets reduced, which enhances the weld bead size but the energy density per unit cross section reduces. Due to this, the depth of penetration of the weld bead reduces. This model will act as a guiding tool in selecting important process parameters to obtain a particular depth of penetration and it will also narrow down the number of experimental trials.