The Reds made an attempt to sign the 32-year-old winger during the summer transfer window.
Paperwork was submitted late, however, and after an EFL appeal, the transfer was cancelled.
Grosicki is yet to make an appearance for the Baggies so far this season and it seems likely he will be deemed surplus to requirements.
The winger is currently on international duty and was an unused substitute against Ukraine.
Brzeczek claims that he, along with Napoli striker Arkadisuz Milik are important to his plans and suggested both could move on in January.
He told Il Mattino: “Arek Milik and Kamil are very important players for this team, with incredible quality.
“Personally, I count on them a lot.
“They are not having an easy time but I think they can change teams as early as January.”
Grosicki swapped Hull for West Brom in January – turning Forest down in the process.
He has scored once and registered three assists in 15 appearances since his £800,000 move from the KCOM Stadium.
Will Forest return for Grosicki?
Chris Hughton did speak of his disappointment at not signing the Polish performer and with that in mind, it’ll be interesting to see if the interest is revived.
One thing Grosicki would provide Forest with is balance.
Joe Lolley, Sammy Ameobi and Anthony Knockaert are all decent players but crucially they’re all left-footed.
Grosicki being right-footed would certainly help and his quality is there for all to see.
He wouldn’t be a long-term fix but he could still make a decent impact if Forest do sign him.
A creative spark has sometimes been lacking this season and as a result, it’d be no surprise to see Hughton return for Grosicki.