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In this paper, we establish an interesting relation between left thickness and topological left thickness in semigroups by showing that a Borel subset T of a locally compact semigroup S is topological left thick in 5 iff a certain subset Mt associated with T is left thick in a semigroup Si containing S, or equivalent, iff My contains a left ideal of Si. Our results contain a topological analogue of a result of H. Junghenn in [Amenability of function spaces on thick subsemigroups, Proc. Amer.doi:10.2307/2044451 fatcat:45ulburvuves7nlw5ty73yx2te