Fabregas made sure Chelsea capitalised on Tottenham Hotspur's 1-0 defeat at West Ham United on Friday by supplying assists for Diego Costa and Nemanja Matic, with Marcos Alonso also finding the net.
It left Chelsea seven points clear of Spurs at the summit and means they will be crowned champions for the second time in three seasons if they win at West Bromwich Albion on Friday.
"At this stage it was important to win and exploit Tottenham's defeat," said Chelsea manager Antonio Conte.