Fusion is not going to solve the sea level rise problem.
You can see this by comparing it to fission.
Fission fuels is not expensive on a kWh base, so cheaper fuel is not really a big advantage.
Fusion plants produce radioactive waste too (perhaps less?), so you don't save yourself from that headache. Which isn't actually that big of a problem either, even if the costs are probably underestimated for fission plants.
Now, the real killer for fission is the cost of the plants. They are just so incredibly complex and expensive that they are not competitive.
Will a fusion plant be cheaper? Probably not. It will most likely, with current tech, be much more expensive. So it won't be able to compete with fission. And fission can't compete (in most parts of the world) with renewables, that are still falling exponentially in price.
So fusion may still be interesting from a scientific stand point, and perhaps things will change in the far future.
An argument I often see is that renewables need storage, and that's true. But so does a fission or a fusion plant, unless you overbuild and accept a bad capacity factor. Some amount of overbuild combined with storage looks like the most economical solution currently - the specifics depend very much on where you are in the world.