The fire broke out at a house converted into flats in Noel Road just after 1.30pm yesterday (July 16).
The blaze is believed to have been accidental and caused by the failure of an e-scooter battery which was on charge at the time.
The fire was in the entrance to the flat which blocked the escape route out of the property.
Five people left the building before the brigade arrived and one man was taken to hospital as a precaution.
The brigade brought the fire under control just after 2.30pm
A spokesperson for London Fire Brigade said: “If you can, store an e-bike or e-scooter outdoors in an external location such as a garage or shed.
“However, we understand that this is not possible for everyone. If you keep an e-bike or e-scooter indoors make sure it is never being stored or charged on an escape route, such as a hallway, by the front door or on or under a staircase.
“Instead, have it in a room away from the door, where in the event of a fire, you can shut the door and get everyone to safety.”
The spokesperson added: “E-bikes and e-scooters are a green and sustainable way to travel around our city.
“However, the stark reality is that some of these vehicles are proving to be incredibly dangerous and are at greater risk of malfunctioning, particularly if they’ve been modified, fitted or converted with second-hand products or if the batteries are used with the incorrect chargers.
“We encourage anyone who owns an e-bike or e-scooter, or is thinking about purchasing one, to take a look at all of our #ChargeSafe advice on our website to help keep themselves and those around them safer from these types of fires.”