The Whites moved up into the top half of the table after a Stuart Dallas brace secured a dramatic 2-1 win over league leaders Manchester City at the Etihad.
But Marcelo Bielsa has been eager to point out just how far his side still have to go if they are to consistently compete with the biggest teams in the division.
Speaking in a press conference this week, he said: “If we guide ourselves from what’s happened this season, from the results or performances, we can see that against the traditional top six, only against Arsenal were we able to play as equals, in the first half of the first game we played against them at home.
“The second half of that game we played with one man more.
“In the game against Manchester United, we did not deserve a better result than the one we obtained. Perhaps, the margin should not have been so high, but they still deserved their win, the same with Tottenham.”
Leeds come up against Liverpool on Monday evening.
Despite impressing hugely in their last outing against the Reds, the Elland Road outfit were still unable to avoid a 4-3 defeat in a thrilling encounter on the opening day of the season.
Here are today's biggest transfer stories and the latest team news involving Leeds and the rest of the Premier League, as the reaction to last weekend's action continues:
1. Dragusin rejects Toon
Juventus defender Radu Dragusin has rejected offers from Newcastle United and Tottenham, according to his agent. (TuttoJuve) (Photo by Chris Ricco/Getty Images) Photo: Chris Ricco
2. Liverpool favourites for Bissouma
Liverpool have emerged as favourites to sign Brighton midfielder Yves Bissouma this summer, according to bookies. (Sky Bet) (Photo by Mike Hewitt/Getty Images) Photo: Mike Hewitt
3. Palmer rules out Wilson exit
Former Premier League midfielder Carlton Palmer has claimed that he cannot see Newcastle United striker Callum Wilson moving to a club like West Ham in the summer. (Football FanCast) (Photo by Stu Forster/Getty Images) Photo: Stu Forster
4. Whites want Gutierrez
Leeds United are also keeping tabs on Real Madrid’s Miguel Gutierrez as they look to add quality cover and competition at left-back. (TeamTalk) (Photo by Quality Sport Images/Getty Images) Photo: Quality Sport Images
5. Blades could hand Ndiaye new deal
Sheffield United could choose to reward youngster Iliman Ndiaye with a new contract following his recent progress, despite still being without a permanent manager following Chris Wilder’s departure last month. (The Star) (Photo by Laurence Griffiths/Getty Images) Photo: Laurence Griffiths
6. Brighton in for Styles
Brighton are readying a bid to bring Barnsley midfielder Callum Styles to the South Coast this summer, but will have to pay over £8million to make the move happen (The 72) (Photo by Clive Rose/Getty Images) Photo: Clive Rose