"Today was a step in the right direction and sometimes you have to win like this to get three points,'' Di Matteo said.
"It's not easy and sometimes you have to win scrappy.''
With league leaders Manchester City and second-placed Manchester United playing tomorrow, today saw a reduced fixture schedule.
At Goodison Park, Tottenham Hotspur crashed to their third consecutive league defeat as Nikica Jelavic's first goal for Everton clinched a 1-0 win.
Harry Redknapp's third-placed side are in danger of being passed by local rivals Arsenal after Croatian striker Jelavic _ a January signing from Rangers - struck with a fine finish from Leon Osman's pass in the 22nd minute.
Spurs, who have also lost to Arsenal and Manchester United in their poor run, had a Jermain Defoe effort ruled out for offside and hit a post through Louis Saha in stoppage time to leave them four points ahead of the Gunners.
Liverpool's faint hopes of qualification for next season's Champions League suffered another blow as the Merseysiders crashed to a 1-0 defeat at Sunderland.
Nicklas Bendtner scored the winner for the Black Cats on 56 minutes as Liverpool slumped to a second consecutive loss following their defeat against Arsenal at Anfield last weekend.
Liverpool manager Kenny Dalglish refused to admit his side's hopes of a top-four finish were over.
"We will say what we said at the very first game of the season - we will play all the matches, count the points up and see where we finish then,'' Dalglish said.
At the other end of the table, the problems mounted for struggling Queens Park Rangers and Wolverhampton Wanderers, who both suffered defeats that left the two clubs in the relegation zone.
Bolton snatched a dramatic late 2-1 win over QPR as the debate over goal-line technology was reignited by a blunder from match officials.
An 86th-minute winner from substitute Ivan Klasnic bagged a vital three points for Bolton after Djibril Cisse's equaliser looked to have earned a draw for Rangers following Darren Pratley's opener.
But the main talking point from an entertaining game was a disallowed goal from QPR centre-back Clint Hill after 20 minutes.
Replays showed Hill's powerful header had clearly crossed the goal-line yet despite QPR protests, neither the linesman nor referee Martin Atkinson were inclined to give the goal and Bolton escaped.
Fuming Rangers coach Mark Hughes said the incident was further proof of the need for goal-line technology, which world governing body FIFA have said they hope to introduce by the end of this year.
"I'm really disappointed in the performance of the officials,'' Hughes told the BBC. "The referee was let down by his assistants. Clearly the ball was over the line. The linesman is there to see that - that is what his job is.
Meanwhile, Wolves were sent spinning to a 2-0 defeat at home to Blackburn Rovers after two goals from Canadian youngster David Hoilett.
Hoilett opened the scoring on 43 minutes, lashing in from near the penalty spot after Wolves failed to clear Morten Gamst Pedersen's long throw.
Hoilett doubled Rovers' lead in the 69th minute, gathering the ball in midfield before unleashing a long-range shot to beat Wayne Hennessey.
The win - Rovers' first clean sheet of the season - saw the Lancashire club go three points clear of the relegation zone.
In the other match on Saturday, Aston Villa scrambled an injury-time winner from Austrian youngster Andreas Weimann to score a precious 1-0 win over Fulham at Villa Park.
-AAP
