I can't seem to find an answer with search, so was hoping someone might be able to assist.

I need to get to SSH, one routing that pulls up is xxx-FRA-CAI-SSH, arriving on LH at 6:25PM into CAI and departing on MS at 7:45PM for SSH. Is this really a valid connection for intl to domestic? There are later flights, but I'd rather the tightest connection (if it is doable) since I will have had a long journey at that point.