It is all well and good to say that you have amazing people skills but it is another thing to show it. Illustrate what your weaknesses look like in real life by providing examples:

Example:

I am not an excellent communicator. I care about the words that I use and about avoiding ambiguity when I communicate. I am a bit afraid to follow up with someone who is senior to me when I do not understand them. I take the time to imagine how different people might interpret questions or statements differently.