"Big egos have little ears." -- Robert Schuller
It doesn't matter how many times we're told that the trait of great people is to listen, we're still intent on wanting to be heard.
And yet, something always gets in the way.
But like any skill, it can be improved...bit by bit.
Tips and tricks aside, you only need stay quiet (for a lot longer); and even if your mind has a desperate urge to want to fill the space with needless talk, in time you'll find that the conversation becomes more meaningful if you just stay quiet. And I mean really quiet.
You might also consider that the most interesting people are those most interested in you, which is predicated on asking better questions (surely you remember Kipling's Six Honest Serving Men?).
Finally, don't despair if you find yourself dealing with people who don't get it. That's not the point. Your aim is not to let your ego dictate what you say, but the wiser more influential part of your spirit.