Daniel Sturridge switch settled
The eventual cost of the transfer could rise to around 7.0 million because the League's Compensation Committee ruled that additional payments of 500,000 pounds would be due after each of 10, 20, 30 and 40 first-team competitive appearances.
A further payment of 1.0 million pounds will be due if Sturridge plays for the England senior team, while City will be due a sell-on fee if the 20-year-old leaves Stamford Bridge.
In a statement on their website the London club said they were pleased with the decision.
"We are content with the outcome of today's tribunal regarding Daniel Sturridge's transfer from Manchester City.
"The initial fee is very close to what we first offered. Any subsequent payments are directly linked to the success of the player and that is satisfactory to us," the club said.
Sturridge joined Chelsea on a four-year deal in July and has made eight appearances for them, scoring twice.