The Celtic striker was touted as a possible target for the Blues during the January transfer window as Antonio Conte pondered bolstering his attacking options at Stamford Bridge.
However, a winter move for the forward failed to materialise, with the forward now focused on Celtic until the end of the season at least.
Dembele was in prolific form this weekend as he scored a hat-trick to help Celtic seal a 5-2 win at St Johnstone.
And the striker was quizzed about his future after the game, but he gave little away.
Dembele is quoted as saying by Metro: “I don’t really listen to what is being said about me I just keep my head down and keep working.
“I was out with my knee and just tried to get back as we quickly as I can.
“Yeah, my future is here and I’m enjoying it.”
Chelsea are currently gearing up for their trip to Burnley next weekend after their impressive 3-1 win over Arsenal in the Premier League on Saturday left them nine points clear at the top of the Premier League table.
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