The 20-year-old only signed for Celtic last summer from Fulham for £500,000, but has impressed during his time with the Scottish champions.
And his displays have not gone unnoticed with Chelsea being linked with a stunning deadline day move for the French striker.
Celtic have rejected a £35m bid from Chelsea to sign Moussa Dembele
It is claimed Dembele was in London to visit a specialist for scans on his knee today and he even took to Twitter to hint that he will be staying at Celtic.
But Get French Football News claim the Blues tabled a late £35m bid to try and lure Dembele to Stamford Bridge.
Antonio Conte's Chelsea could come back in with an improved offer for Dembele
Celtic have slapped a £40m asking price on Dembele's head
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Mon, January 30, 2017
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It is said that the bid was lodged at around 2pm, but Celtic snubbed the Blues advances as they are determined to keep their star man.
Celtic have slapped a £40m asking price on Dembele's shoulders with sources telling Get French Football News that 'he won't leave' Celtic.
But Chelsea could come back in with an improved offer for Dembele before the 11pm deadline tonight.