The 21-year-old forward, who enjoyed a six-month loan spell with Leyton Orient where he made his debut against The Lions, has attracted the attentions of Millwall boss Kenny Jackett as well as interest from Brentford and Dagenham.
The Lions look favourites to land Barcham after Spurs reaped the rewards of Jamie O'Hara's successful loan spell last season should the Premiership side consider sending him out on loan.