Ultimately, you don't want to go to the stage of the stabilizer. I will admit, My experience was with a child who was five. I realize yours is two years younger. So, my dd might have been more ready.
Do you think you could give it a try without the stabilizers without scaring your child if they take a spill?
We used a bike without the pedals on it (as opposed to a balance bike) Then, went back to her regular bike. We had (what we call in the US) training wheels on it, but they were all lopsided and not really doing their job. She had the confidence knowing the training wheels were on, but they were doing nothing.

it actually made for some great video. She was cruising and had no clue she was doing this cool thing of riding without training wheels. I had to be all calm when inside I am going, "Yea!" But, enough about Mel