David Moyes' men find themselves in 12th position on the Premier League table after losing 2-1 to West Bromwich Albion at Old Trafford, prompting plenty of criticism towards the new manager.
Three minutes later, Wayne Rooney levelled it up with a wicked bouncing free-kick from the left flank before young striker Saido Berahino lashed home from the edge of the area for his first Premier League goal with just over 20 minutes remaining to give the Baggies their first win at the venue since 1978.
Arsenal remained top of the table courtesy of a 2-1 win over Swansea City at the Liberty Stadium thanks to another masterclass from the in-form Aaron Ramsey who has now scored four league goals and eight in all competitions so far this campaign.
The Gunners produced their 12th consecutive away victory in all competitions which was made possible when Ramsey cleverly played in 18-year old Serge Gnabry who stuck home his debut league goal in the 58th minute before the Welshman added a second four minutes later when he fired into the roof of the net.
Swansea pulled one back through Ben Davies who scored a lovely late volleyed goal after a breathtaking one-two with Wilfried Bony but the damage had already been done as the Gunners went two points clear of second-placed Liverpool.
Daniel Sturridge scored his fifth of the season in controversial fashion when he missed an attempted header from Steven Gerrard's corner to see the ball roll in off his arm in the 28th minute before Suarez added a second eight minutes later when he slid home Sturridge's back post ball from close range.
Emanuele Giaccherini responded early in the second half for the Black Cats when he followed up a long drive from Ki Sung-yueng which had been saved by Simon Mignolet to fire home but Suarez had the final say with an 89th minute goal with another close range finish from a Sturridge pass.
Elsewhere, Tottenham and Chelsea shared the honours in a 1-1 London derby draw at White Hart Lane, Aston Villa upset Manchester City 3-2, Cardiff City scored a late winner to beat Fulham 2-1, Hull City edged West Ham United 1-0 at home, Southampton went fifth thanks to a 2-0 victory over Crystal Palace and Norwich City scored a 1-0 win at Stoke City.
2013/14 Barclays Premier League scores