With this win, Chennaiyin jumped to the fourth spot and pushed North East United and Pune City to fifth and sixth positions respectively.
Last year semi finalists, Chennai will be playing Mumbai in their last league tie on December 1.
Marco Materazi's decision to go in for a 4-4-2 formation was too much for the Delhi forwards to create any ripple in the Chennaiyin territory throughout the game.
Bruno Pellissery, who muffed with a chance in the 19th minute, increased the lead in the very next minute latching on to a rebounder off Tony Doblas and in the 40th minute, Jeje made it 3-0.
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After the break, the jubilant Chennaiyin continued their aggressive game and in the 57th minute, Jeje, who has been in superb form, capped with the fourth goal.
Likewise, Mendonza was instrumental in causing problems to Delhi defense. For example, the manner in which Mendonza deceived the defenders to get the second goal for Chennai was noteworthy.
Mendonza picked a pass from Pellissary from the left and in a trice gave a swift pass to Jeje, whose shot was blocked by Tony Doblas, which Pellissary latched on to score.
In fact, Chennaiyin dominated the game almost throughout 90 minutes though there were a few counter attacks by the Delhi Dynamos.