We describe a novel wound dressing (HR006) with two components: a lyophilized matrix of the galactomannan from locust bean gum (LBG) and an antioxidant hydration solution (AHsol) containing curcumin and N-acetyl-L-cysteine (NAC). Physico-structural analyses of the LBG matrix revealed homogeneous interconnected pores with high absorbing capacity showing excellent properties for moist wound care (MWC). In an in vitro oxidative stress fibroblast injury model, the AHsol showed relevant protective effects reducing intracellular reactive oxygen species (ROS) production, rescuing cell viability, and regulating expression of inflammation-related genes (COX-2, TNF-α, IL-1α, IL-1β). The new dressing showed good biocompatibility profile as demonstrated by cytotoxicity, hemocompatibility, and skin irritation tests. Moreover, in an in vivo skin wound model in pigs, this dressing enhanced the production of healthy and organized granulation tissue and re-epithelization. In summary, HR006 exhibits significant antioxidant activity, good biocompatibility, and excellent repair capabilities improving tissue remodeling and the healing of wounds.