The 34-year-old joined in a one-year deal from Panathinaikos as a free agent and has made seven appearances for Bandung including two starts, scoring three goals so far.
Bandung sit three points behind leaders PSM Makassar after seven games.
"There are still a lot of games to be played in the season so I'm still very optimistic that we can win the league title," Essien told his club's website.
"We are still in the top three and specifically second place so there is still a chance for us. In our last two matches in the league, if it was not a win it is a draw, but we always get points especially in the last two matches where we've failed to win.
"All we have to do now is to look for victory in every game we will play and with that, our dream can be achieved by the end of the campaign," he added.
Bandung will travel to Stadion Kapten I Wayan Dipta in Gianyar on Wednesday to face Bali United before another trip to face Bhayangkara on Sunday.
Essien previously won one Ligue 1 and two Premier League titles with Lyon and Chelsea respectively.