The woman wrapped a self-adhesive bandage around the cut on her finger.
The definition of self-adhesive is something that can stick or seal on its own without any tools or moisture.
An envelope that can be sealed without licking or wetting it is an example of a self-adhesive envelope.
having a surface coated with an adhesive that will adhere to another surface without the application of moisture: self-adhesive labels
Having a surface coated with an adhesive and not needing the application of glue or moisture: self-adhesive labels.