The Ivory Coast striker's agent claimed to have been contacted by Manchester City and refused to rule out a 'surprise' before the close of the summer transfer window.
But City were quick to deny making an approach and Chelsea chief executive Ron Gourlay insists the 32-year-old is not for sale.
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The Blues' battle to sign Fernando Torres from Liverpool had raised suspicions about Drogba's availability, but Gourlay said: 'Didier will be a Chelsea player next year. Didier is under contract.
'The thing about this time of year is we always get (this). For our players to be in the news - it's normal. But Didier Drogba will be a Chelsea player next year.'
Liverpool boss Roy Hodgson insists Torres is happy to stay at Anfield, but Gourlay indicated there was money to spend if Chelsea boss Carlo Ancelotti needed to strengthen.
Given the flick: Chelsea have dismissed Drogba reports
'If Carlo wants to bring a player or two into the squad then we will look at that,' said Gourlay. It has to be the right player to fit into the squad and obviously at the right price.
'If these things all come together then fine, we'll strengthen the squad. But only if Carlo feels it's necessary.'
Ancelotti has so far made just one major summer signing with the acquisition of Yossi Benayoun from Liverpool for £6million.
The Israel captain's pre-season progress has been hampered by a slight groin problem but he is expected to be included on the club's forthcoming tour of Germany. The club have also lost defender Alex and goalkeeper Petr Cech through injury.
Deco is back at Cobham and undergoing double training sessions, but expects to soon secure his release for a return to Brazil with Fluminense.
Torres joy! Fernando has told me he is staying, says Liverpool boss Hodgson Sign up to our FREE Fantasy Football game - with £40,000 in prize money up for grabsCity on alert as Benfica tell Chelsea to improve £27m bid for defender LuizCHELSEA FC