I would say that your chances of making the flight are at best 50:50 but probably much less - and that's even without late-running trains, longer-than-usual queues at the taxi rank, or traffic jams.
KLM flights close 15 mins before departure, so unless those "few minutes" you mention are less than about five you're not going to make it to the gate in time.
I just wouldn't risk it (unless you're on a flexible ticket)