This should work.
You may have to seal the lower joint of the wall (where it meets the floor).
You can do that nicely by cutting into the floor (concrete yes?) and inserting a metal sheet, - some 3 inches or so into the floor, and another 7 or so upwards into the wall.
Make the concrete of good strength and make some good framework (metal) to avoid cracks.
Putting concrete floor on top of concrete is no problem, - just have a decent framework in it.
If you need only an inch, you can also use the "float" concrete, which gives a very good and smooth finish, - no framework needed.
Now, coming from another country, I do not know the standards you have, but ours (Iceland) take earthquakes and floodings into account, and the regulations are quite strict.
If you need some parameters I will gladly post. (concrete strength dimensions in framework etc)