Chelsea moved back to the top of the Premier League and made it nine successive league wins as Diego Costa scored the winner against a stubborn West Brom.
The Spain striker took advantage of a mistake by a hesitant Gareth McAuley in the 76th minute to rob the defender of possession and curl a brilliant left-foot shot past Ben Foster.
Fabregas who came in as a substitute for Moses in the 74th minute made a huge difference by giving a long pass which helped give Chelsea the opening goal.
“It was a good pass but it was all about Diego for the goal, he made the pass special” Fabregas said in a post match interview.
West Brom had looked like earning a point after restricting the Blues to just one other shot on target, a 30-yard David Luiz free-kick.
Chelsea also came close through an N’Golo Kante shot that deflected off Pedro and rolled just wide of the post.
The Baggies had early chances through a Chris Brunt shot that fizzed wide and Salomon Rondon shooting across goal.
Chelsea move three points ahead of Arsenal while West Brom stay ninth.
Join GhanaStar.com to receive daily email alerts of breaking news in Ghana. GhanaStar.com is your source for all Ghana News. Get the latest Ghana news, breaking news, sports, politics, entertainment and more about Ghana, Africa and beyond.