One point away from overweight is just another way of saying perfectly healthy. Unless you´re gaining weight, there´s nothing wrong. You´ve found what you need to do to maintain your weight at a healthy level.
Losing more weight when you're already healthy is an unnatural thing, so relying on natural instincts doesn't work.You can´t just "eat very well" and "not sweat the small stuff." Losing weight at this point is going to require very nearly perfect eating-- NO empty calories, and very, very careful planning to make sure you get all the necessary nutrients in the right balance from the minimum number of calories. It's not impossible, but it's going to mean planning and tracking every bite.
You'll also probably benefit from amping up workouts or changing to another type of activity. If you've been doing the same types of workout for a while, you learn to do it efficiently. Switching to something you don't really know how to do will help you "waste" calories by doing extra movement. The newbie in a class or sport who flails around and looks silly is the one who's burning the most calories!
As others have said, it would be a good idea to get your body fat percentage measured accurately first. Body fat percentage or body composition is a totally different thing from BMI. Anybody can figure BMI; it's just your weight in kilograms divided by the square of your height in meters. The "healthy" range was calculated by weighing and measuring millions of people worldwide and figuring out a general average range. It does correlate better with body fat than just your weight would, but it was never meant for looking at a particular person and saying, "You're too fat." All it can say is, "You weigh more than average for someone your height." And the "overweight" category never had any correlation to health, anyway. There's no increased statistical risk of any health problem until you get to a BMI of 30.
Body fat percentage is a better measure, but it's expensive and requires a lot of training. If you don't have a way to get it done cheaply, the next best thing is height-to-waist ratio. Here's a calculator for that: www.health-calc.com/body-composition/waist
(I like this thing, because while I'm barely overweight by BMI, it says I would have to add another two inches around my waist to be in the "consider action" category here!)
Take all of those things into consideration, and decide whether you really need to lose weight at all. If you're not definitively overweight, the under-eating it would take to lose weight might be more harmful than having a few extra pounds.