Zlatan Ibrahimovic rode to Jose Mourinho's rescue again at Selhurst Park with a late winner over Crystal Palace which still leaves Manchester United six points off the top-four.
With Chelsea, Spurs, Manchester City and Liverpool all winning, Mourinho only made up ground on rivals Arsenal, the big losers in the week.
And before the Palace win, Mourinho seemed to concede that winning the title was a step too far for his team this season.
"The aim is to be champions, that's the destination," he said before playing a provisional ball.
"Even if you have a good run of results, you are always depending upon what the others are doing. We are going to try, we are still in the fight," added Mourinho.
A disputed Paul Pogba goal on the stroke of half-time gave United the lead against Palace but a wonderful back heel from Damien Delaney set up James McArthur for a second-half equaliser before Zlatan scored a late winner.
Chelsea extended their winning run to ten with a 1-0 victory over Sunderland at the Stadium of Light and now have a six-point lead at the top of the Premier League table.
Antonio's Conte's men were able to protect the goal Cesc Fabregas scored five minutes before half-time to secure yet another three points.
Liverpool also won on the road, with Adam Lalana bagging a brace against Middlesbrough on the way to a 3-0 victory. Manchester City beat Watford 2-0, while Spurs beat Hull 3-0.