The versatile 25-year-old will head to the Liga MX side on a six-month loan with an option to buy.
Chiapas on Monday acquired Farfan from Chivas on a six-month loan, with the Mexican side holding an option to buy the defender-midfielder. Farfan, 25, joined Chivas from the Philadelphia Union in May and made 14 appearances (10 starts) in MLS play.
The Club America product logged 51 matches (43 starts) in two and a half seasons with Philadelphia. Farfan's brother, Michael, is also in Liga MX after being transferred last month from Philadelphia to Cruz Azul.
Chiapas sits at 2-2-1 early in the 2014 Clausura campaign.