The 22-year-old Belgian was sent off for kicking out at 17-year-old ballboy Charlie Morgan as he attempted to retrieve the ball during the Blues' 0-0 Capital One Cup draw with Swansea at the Liberty Stadium last Wednesday.
It had been suggested that the FA was considering extending the standard three-game suspension after Hazard was charged with violent conduct, but the governing body has now stated that will not happen.
Hazard has so far missed the 2-2 draw at Brentford in the FA Cup and Wednesday's 2-2 Premier League draw with Reading.
He will also sit out Saturday's trip to Newcastle but will be available again for the home game against Wigan on Saturday 9 February.
Chelsea were ready to oppose any move by the FA to increase the ban and interim manager Rafa Benitez said last weekend that he felt a three-match ban was sufficient.