A flexible hose structure includes at least one inner tubular layer of a first polymeric material defining a longitudinal axis, at least one meshed intermediate reinforcement layer arranged on the inner layer and having at least one first series of yarns defining first chained wales and first courses arranged according to a helical progression with a first pitch of predetermined length, and at least one second series of yarns defining second chained wales and second courses arranged according to a helical progression with a second pitch of predetermined length. The first pitch is a multiple of the second pitch, and the first wales (and the second wales are mutually interlaced with respective meshes not in a chain to exert an independent resistance to radial expansion on the inner layer.