It's a bit of a long shot, but...

Meaning

It's unlikely to succeed, but it's worth trying.

Examples

• John: I have an idea, but it's risky.
• Alice: What is it?
• John: <b>It's a bit of a long shot, but</b> we could try contacting Mr. Smith.
• Alice: It's a long shot, I agree, but if nothing else works, it’s worth a try. <b>It's a bit of a long shot, but</b> let's do it.