Chat url in active chat

In Chat History there is a URL column containing the page the visitor was on during the chat.
Would it be possible to display this URL in the sidebar while the chat is still active, possibly through a hook or filter?

Example case:
Visitor visits the page on bike helmets, and clicks chat.
They ask: Are these available in yellow?
The site owner then will to the possible annoyance of the visitor have to ask what product they were refering to.

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