Transdermal delivery devices for the delivery of cannabidiol (CBD) are shown and described. In a reservoir-patch design, a microporous, hydrophilic membrane and a backing define a reservoir that houses a mixture of CBD, a polar liquid, and a gelling agent. The hydrophilic membrane is coated with an amine-compatible silicone skin adhesive. In a monolithic design, a release liner is coated with a mixture of CBD and a PIB or amine-compatible silicone skin adhesive laminated to the backing material. In either design, the CBD may be provided as a pure compound or as a component of a cannabis oil.