we do not have basements in my region. But, I have only these considerations for you to think about: You will need to make sure your flooring that the jack sits on is stable and will not bury itself, then screw up or raise the floor very slowly, I actually mean maybe raising the floor only 1/4 inch per several days. Let this be a very slow and gradual move. Then, are you going to leave the jacks in place or insert a timber in its place? I remember as a kid, when visiting my Grandfather in Missouri, he had several timbers in the basement with a screw jack under them supporting an apparently low flooring.
What ever you do be careful and I would suggest that you consider consulting a structural engineer for some pointers.