Ascertaining the importance of the Maximal Ratio Combining (MRC) receiver and the suitability of the Weibull model to describe mobile fading channels, we study the performance of this combiner over correlated Weibull Fading Channels (WFC) with arbitrary parameters. We adapt the approximate closed-form expressions of many performance criteria of L-branch MRC derived in [1] to the case of correlated channels. Additionally, to reduce the computing complexity of performance criteria, the probability density function (PDF) and the moment generating function (MGF) of the output SNR are written otherwise in terms of simple polynomial and Laguerre generalized function. All the results are evaluated and illustrated by using Mathematica Software, verified and validated by monte-carlo simulation and comparison with previous results [2].