The deal means that Essien is contracted to Chelsea until 2013.
It was revealed on Monday that Cech had signed a five-year deal with the Blues, while Bridge put pen to paper on a new four-year contract last week.
Scolari, who has had to endure much speculation about the future of midfielder Frank Lampard since taking over as Chelsea manager this month, is delighted that Essien has pledged his future to the London club.
"I have not been here long but it is clear to me that Michael Essien is one of the best midfield players in the world," stated the former Portugal boss.
"I have always admired him and it is good news for me and for Chelsea that he signs for so long."
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