You can book your KLM last-minute Flight Deals by going through the procedure above. However, if you don't find it feasible, you can speak to the KLM representative to book the flight on your behalf. You can also arrange the upgrade for yourself at a self-service kiosk at the airport during check-in. However, you can also enjoy the KLM last-minute upgrade if you are lucky. Getting a last-minute upgrade is possible for a specific flight only; you cannot get it for your entire booking. To enjoy the last-minute upgrade, you can wait or speak to the KLM team to provide you upgrade if possible. In addition to being lucky, it also depends on the availability.