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Regular expressions with shuffle operators are widely used in diverse fields of computer science. The work presented here investigates the shuffling of regular expressions and their conversion into non-deterministic finite automata. The aim of the paper is to design a novel algorithm for constructing  -free non-deterministic finite automata from the shuffling of regular expressions. Non -deterministic finite automata generated using the proposed approach requires, in the worst case, 2 m+s+1 states. This is a significant improvement over other existing approaches in the literature, where the number of states reaches 2 2(m+u+k+s)-C in the worst case.