IAmNeil

Of course NO! unless you want to risk losing your current job without knowing if you will get an offer or not.

IAmNeil

Just write will provide details if application successful - it's only a form right. It's for HR. If they bother to ask you, you can explain then. And then they might say we only contact after you have been selected (which is typical). You'll be fine. It's just form filling for the weird and wonderful world of HR.