Eevee and filmic look

I’m working on a scene and I’m using a filmic look for the final render with Cycles.
I wanted to test the animation and the look to some extent switching to Eevee but I’m now realizing that the filmic look is not being applied in the render (although it works fine in the viewport).

Am I missing something in the settings or a filmic look cannot be baked in an Eevee render?