Ubuntu – Zipping folder with absolute path without keeping tree of folders

I am attempting to use the zip -r command to zip a folder which includes two files. I need to pass the absolute path of the folder with two files (/path/to/my/files/), which is causing all of the folders to be zipped with it, where as I only need the last folder (files/) and its contents to be zipped, so that when the file is unzipped, there is only one folder and the two files within it. How can I modify the command to be able to pass the absolute paths in the arguments while keeping only the last folder?