Yes. Though technically it could be played at Florida State as well, based on the information that has been provided to this point.
I intentionally did not say that. I speculated that if the above happened, it would be played at FSU ... because they are announcing the super regional host sites after the regional winners are determined. Else, they would have already said that the top eight seeds will host super regionals regardless of regional winners ... and we know that the super regional host sites will come from the 16 selected host sites.
"It also may be the case that if LSU does not advance and Florida State does, the super regional may take place at Florida State. But if neither LSU nor Florida State advances, it may be predetermined that LSU must host the super regional."
With Florida State, not because they are the highest seed remaining ... but because they are one of the 16 selected host sites (super regional host sites must come from these 16) and LSU would be out (see above).
Brian