The p-cycles have been proved to be very effective technique of span protection due to its capacity efficiency and restoration speed. However, in most of the restored paths which are provided after the event of failure, many nodes and links are repeated. This repetition results in loop backs in the restored paths. These loop backs are totally undesirable and do not serve any purpose. In this paper we have performed a study to find out the effect of removal of loop back on the reliability of the restored paths. We have developed models for calculation of the reliability before and after removal of loop back. The reliability of the restored paths has been compared before and after the removal of loop backs. The results show considerable improvement in the reliability of the paths after loop back removal.