Thomas Tuchel acknowledged Chelsea are in danger of dropping out of the top four altogether after losing 1-0 to struggling Everton on Sunday.
Frank Lampard's Toffees snatched a potentially vital victory in their bid to avoid relegation from the Premier League for the first time, with Richarlison getting the decisive goal just after half-time.
Chelsea created several presentable chances but were denied by three wonderful Jordan Pickford saves as Everton held out under pressure at Goodison Park.
It was not so long ago that Chelsea appeared certain to finish in the top four, but they have won only once in their past four league matches, putting their position under pressure from Arsenal and Tottenham.
Tuchel insists he never felt completely safe, though.
“Of course, it was always like this," he told reporters when asked if they now face a battle to qualify for the Champions League.
"I said it many weeks ago that I didn't ever feel safe. We are never safe. By the way, if we are in a race for top one, top two, or top four, no matter what the race, the last four games to only have four points will never be enough, no matter which race we are in.
"We have to take care of ourselves. At the moment we don't get the points when we play well and deserve more and we lose when we play okay, this is a bad mixture."
Cesar Azpilicueta's dawdling on the ball ultimately led to Everton's winner, with individual mistakes becoming something of a theme in recent weeks for Chelsea.
Such errors, and how to eradicate them, have Tuchel at a loss.
"What can I do? The ball is free, then give a goal away. It is the worst thing that can happen to you in this atmosphere and situation. It happens too often, we struggle to play without big mistakes. That's why we struggle to have results.
"If there is something I can do I will try it but if I knew about it I would have done it before. I think, for me, the key is to have a clean sheet. Manchester United was a different game, more open, fluid, more spaces, and we finally scored late and conceded straight away.
"For me, this is more like the game against West Ham. The opponent defends deep, we struggle to find space in the first half, but against West Ham we had a clean sheet and played without any big mistakes.
"That gives us the chance to score late. If you run behind against an opponent like this, in this atmosphere and install emotion and belief in a stadium like this and the opponent's team, you struggle."
It was a bruising encounter, with referee Kevin Friend producing eight yellow cards in total.
The aggression displayed by Everton did not trouble Tuchel specifically, though he was critical of how the game was refereed.
"No, no, we expected [Everton to be aggressive]," he added. "It would have been nice to have a referee who was in charge of it – they got away with a lot. He decided to manage the game the way he did and I was not too happy with it, but it's his way.
"That is why it's important to not do any mistakes, instil belief, and to keep doing what we do on the highest level of focus. We struggled."
'We really let ourselves down' - Coleman slams Everton after late Bournemouth collapse
Seamus Coleman acknowledged Everton "really let ourselves down" and must "look at ourselves in the mirror" following their spectacular late collapse against Bournemouth.
Sean Dyche's side, who were seeking their first points of the season, led 2-0 in the 87th minute at Goodison Park through goals from Michael Keane and Dominic Calvert-Lewin.
However, the hosts were undone by three crosses in the latter stages, with Antoine Semenyo pulling a goal back and Lewis Cook levelling, before Luis Sinisterra completed a sensational turnaround in the sixth minute of stoppage time.
Boos rung around Goodison Park as the Toffees remained pointless and rooted to the foot of the Premier League table, and Coleman echoed the supporters' frustrations.
"We really let ourselves down in front of our fans," the skipper said. "We cannot take our foot off the gas at this level. Unfortunately, we did that.
"We cannot be conceding the goals that we did. We have to look at ourselves in the mirror."
Meanwhile, Dyche bemoaned the lack of responsibility amongst his players, as they became the first side in Premier League history to lose a game after leading by two or more goals in the 87th minute.
"We did so much right until they scored their first goal," the Everton head coach said. "The game should have been out of sight. We conceded one and then threw it away. I can't put my finger on it right now.
"They kept raining it forward and got their reward in the end. They were playing it forward and crossing it into the box, and we didn't deal with it. Simple stuff, but we threw it away. It is the third game we have thrown away this season.
"Everyone was looking at someone else to deal with things and that is when there is trouble. You could see the body language change. You have to see games through, and we have enough experience to do that, but today we didn't."
Bournemouth boss Andoni Iraola added: "It was the worst game we played this season. Everton deserved to win today, but the players kept pushing.
"I always have hope because this team has spirit. We have done it before and had some good comebacks. The spark of the first goal made us believe we could do it again."
Brentford 3-1 Southampton: Bees begin life after Toney with comfortable win
Brentford began life without Ivan Toney with a comfortable 3-1 victory over Southampton.
Bryan Mbeumo’s brace and a Yoane Wissa goal proved to be the difference between the two sides and condemned the Saints to their third straight loss since promotion back to the Premier League.
With departed striker Toney watching in the stands after his move to Al-Ahli in Saudi Arabia, the hosts proved too strong for Russell Martin’s men. They created the superior chances and capitalised on an error-strewn performance from Southampton’s backline.
Mbeumo opened the scoring on the stroke of half-time before doubling the lead halfway through the second period and Wissa then got on the scoresheet moments later to continue Brentford’s strong start to the campaign. Yukinari Sugawara bagged a consolation in injury time for the Saints.
Brentford sit in fifth place ahead of the first international break, while Southampton are second-bottom of the league table with zero points.
Data debrief: Wissa continues to prove effective at home
Wissa now has five goals and two assists in his last seven matches at the Gtech Community Stadium.
Brentford have recorded consecutive home league wins for the first time since last November, and the first time in their opening home games since August 2018.
Brentford 3-1 Southampton: Bees begin life without Toney with comfortable win
Brentford began life without Ivan Toney with a comfortable 3-1 victory over Southampton.
Bryan Mbeumo’s brace and a Yoane Wissa goal proved to be the difference between the two sides and condemned the Saints to their third straight loss since promotion back to the Premier League.
With departed striker Toney watching in the stands after his move to Al-Ahli in Saudi Arabia, the hosts proved too strong for Russell Martin’s men. They created the superior chances and capitalised on an error-strewn performance from Southampton’s backline.
Mbeumo opened the scoring on the stroke of half-time before doubling the lead halfway through the second period and Wissa then got on the scoresheet moments later to continue Brentford’s strong start to the campaign. Yukinari Sugawara bagged a consolation in injury time for the Saints.
Brentford sit in fifth place ahead of the first international break, while Southampton are second-bottom of the league table with zero points.
Data debrief: Wissa continues to prove effective at home
Wissa now has five goals and two assists in his last seven matches at the Gtech Community Stadium.
Brentford have recorded consecutive home league wins for the first time since last November, and the first time in their opening home games since August 2018.
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