Ashley Cole is also closing in on full fitness following his hamstring strain, while Carvalho will soon resume light training after limping off at Hull two weeks ago with the same problem.
That will leave just Essien on the long-term injured list, although Scolari hopes he will be back from his knee problem by the end of January.
Chelsea have still managed to climb to the top of the Premier League, despite having as many as 11 first team players out at one point.
But Scolari will hope his squad can stay clear of injuries from now on after chief executive Peter Kenyon confirmed that Chelsea will have to sell players in order to sign anyone in the January transfer window.
Kenyon said: "It is extremely unlikely we will spend in January.
"First we would have to sell someone to balance the books. At this stage, we're not planning to bring anyone in.
"Felipe is on board with that because he has an excellent squad and is doing a great job.
"We have an agreed squad size of 24 and January is a notoriously bad time to buy. So any changes are not high on the agenda."