Laguerre Gaussian (LG) laser beam propagations is presented to investigate the self-focusing in collision-less Gaussian plasma. This is by deriving the equations supporting self-focusing in plasma mediums by using WKB approximation. Additionally, a range of values of laser-plasma parameters which would fulfil these equations is considered. For the scenario of Gaussian and collision-less plasma, the study is contrasted. By utilizing a low order Laguerre Gaussian laser beam is more exciting as compare to using a Gaussian laser because it incorporates the propagation specific characters of Laguerre Gaussian Laser Beam. The observations are appeared in term of early self-focusing with LG laser beam. The investigation is expected to unfold the new and more effective scenario for self-focusing in plasma.