The Sun says the Bees have had a long-term interest in the 20-year-old winger – and saw an £8million bid rejected in the summer.
But that interest remains, and club representatives were present to watch Lewis-Potter during Hull's 2-0 win over Blackburn on Wednesday night.
Lewis-Potter showed his flexibility by playing in a front two in a 3-4-1-2 formation – a similar system to the one used by boss Thomas Frank at Brentford.
Hull are bracing themselves for offers from several Premier League clubs both this month and at the end of the season, with Tottenham monitoring the player.
Southampton, Leicester and West Ham are also keeping tabs.
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