The victory sees the Whites move up to 10th in the Premier League table.
Pleased with the performance? - Do you think you deserved to win by a bigger scoreline?
After the game, Bielsa spoke to the media on the performance and if he was pleased and should they have won it by a bigger margin.
"We won only by one goal. When the opponent sees there is only one goal difference they arrive a lot in the opponent's goal.
"But we had sufficient amount of chances to have scored more goals and especially we had many dangerous situations that didn't end in shots that would have increased the amount of options we would have had to score more goals.
"But it is very difficult in the Premier League to imagine a comfortable victory, at least for us."
Why was Liam Cooper recalled to the starting XI?
Leeds United captain Liam Cooper was preferred to fellow centre-back Pascal Struijk alongside Diego Llorente for the clash with Sheffield United at Elland Road on Saturday afternoon, despite the superb displays from Struijk in recent weeks.
Bielsa explained his reasonings for bringing back his captain to the starting XI: "Pascal played very well against Chelsea and Fulham but in the training this week I saw that Cooper was at his best." the Argentine said.
"Cooper is the type of player who doesn't lose his sharpness even if he isn't able to train for one or two weeks and when we confirmed that it was still in this manner in the training sessions this week I opted for him.
"But the two games that Pascal played previously would have also made him deserving of continuing in the XI." he continued.
An emotional day and weekend for the club and the supporters - how pleased are you to give the fans a win to celebrate this afternoon?
It was a sad day in the history of Leeds United this afternoon, it was the first home game since the tragic death of former Whites record goalscorer, Peter Lorimer, who died the following day after the win over Fulham at the age of 74 following a long illness.
But it was the nearest game to the 21st Anniversary that supporters Christopher Loftus and Kevin Speight went to Turkey to see Leeds United against Galatasaray in the UEFA Cup semi-final and were brutally murdered.
Bielsa revealed how pleased he was to give the fans a win to celebrate: "Victories always generate happiness and optimism and when we lose someone it always generates sadness and memories.
"It's very difficult for happiness or victory to compensate for the loss of someone, but it's better to have been able to have won to say goodbye to such an extraordinary player."
How close do you think Diego Llorente is from showing his full potential?
Following some injury lay-offs, defender Diego Llorente has begun to show some solid performances alongside either [Liam] Cooper or [Pascal] Struijk at the heart of Leeds' defence and Bielsa was asked if he was very close to showing his full potential at the Elland Road outfit.
The former Argentina boss had this to say: "All the central defenders have had the opportunity to play: [Robin] Koch and then after Llorente, Cooper and Pascal [Struijk], and [Luke] Ayling when he had to play there, even at one point [Kalvin] Phillips, all of them had a very good level so in a season that's so long, the three most defensive positions (the two centre-backs and defensive mid), it's good to be able to count on five players.
"Also taking into account that Pascal, Koch and even Llorente can play in the defensive midfield position."
How did you think Jack Harrison played today?
The Manchester City loanee netted his seventh goal of the season and has played a large number of the Whites games this season and is improving week-after-week and Bielsa was full of praise for the winger's display against the Blades.
"In the last two games he has had a bigger increase in his performance, today he had a lot of influence, he was decisive and in the game against Fulham as well. He's a player who when he manages to play at his best version, can play at the best of his game."