The Sun says Hull are close to loaning Forss.
This could then pave the way for the Bees to land long-term target and Tigers winger Keane Lewis-Potter.
Finnish striker Forss, 22, has made just one start in the Premier League this season and Brentford are willing to let him get some match experience elsewhere.
Hull are hoping to get this deal over the line before the end of the deadline.
Brentford have been stepping up their chase of Lewis-Potter having had an £8m deal rejected in the summer.
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