According to Facebook graph API we can request a user profile picture with this (example):
https://graph.facebook.com/1489686594/picture
We don\'t need any T
Please note that the The Surrican's answer (and possibly others) can drastically increase your script's response time (around +500ms for me on my server). This is because the server issues a request to facebook (because of get_headers()) and the execution time (computation excluded) extends from this:
to this:
This adds the mentioned 500ms delay. You probably should consider to cache the real url on your server or to load the profile picture via JavaScript. At least take a look at your response time before and after ;)