Apparently the PS4 version is 38.69GB and the Xbone version is 36.78GB, but given that the textures and other assets will have to be reduced a lot to run on Switch in the first place, it should be possible to fit it on a 16GB card, especially as we've seen other games ported from PS4 to Switch reduced massively in file size.
Last edited by curl-6 - on 11 February 2020