The aim of this paper is to consider the performance of wireless communication system with signal-to interference ratio (SIR) based multiple-branches selection combining (SC) receiver. The proposed system operates over correlated Weibull multipath environment, in the presence of co-channel interference (CCI) subjected to correlated Rayleigh multipath fading. SC diversity technique is used to reduce the effects of multipath fading and CCI on the system performance. Infinite-series expression for outage probability (OP) in terms of Meijer G functions is derived. Further, numerical results are graphically presented and discussed to show the influence of fading parameters on outage probability