His contract is up at the end of the coming season and Brown is determined to ensure he does not follow in the footsteps of ex-Dragons Luke Charteris and Dan Lydiate and seek a move abroad.
"Toby's importance to us is two-fold - what he can do on the pitch and the profile that he brings us," Brown told the South Wales Argus.
"When he gets back and has had a well-deserved rest I will be having a chat with Toby. "Will he stay? I don't know, but I am hopeful and we will be giving him a proper offer.
"Whether he does stay could be down to what is out there but we will give him a really good option.
"Toby was brilliant on Saturday and made everyone here so proud and we will do everything we can to keep him at the Dragons."
Guinness PRO12 Dragons News
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