Ship integrity will drop to zero just like with any other ship. It's not an issue.
thanks guys ,, ive already driven it to Sadge on the Buckyball A* run, it had 98% hull when i got there,, but then someone said that integrity is different from the hull %age thats on your dash,,
Ship integrity can only be viewed from the repair screen when docked at a station. The cost to fix it seems to vary with every patch, when I got home last Thursday with 0% it was 1.4m credits, for my previous trip it was over 5m!