Before the weekend game, the Manchester United legend claimed that he was "not sure" whether the Blues have enough firepower to win the championship this season.
The former Red Devils star and England claimed that although the addition of Romelu Lukaku would help bolster their attacking options, he was concerned that the South West London team would not have enough scoring players to use them.
Asked about the Chelsea Football Club's chances rating this season, Scholes said on the YouTube channel Overlap: "I think Chelsea have challenged the head coach. I'm just not sure, I do not believe there is enough team.
"I think Romelu Lukaku will score, but there are enough people around him to score. I'm not sure if Timo Werner will succeed. When he plays for the German national team, he can win every game. The ball, and at Chelsea, he missed a lot of opportunities.
I also do not think Chelsea's defense is great. Antonio Rudiger is really great, but otherwise, Thiago Silva is 36 years old and he will not participate in every game.
"Andreas Christensen is a young player. In the middle of your pitch Chelsea are fine. But I'm not sure Chelsea will score enough goals and defend well enough."
Scholes also stated that he believes Chelsea Football Association's Mason Mount midfielder should start conquering more often for Thomas Tuchel's men.
He continued: "Mason Mount, he needs to start conquering, Scholes added." I think he's a great player, but he must start winning games, just like Frank Lampard.
"I think he's that type of player, but Frank has produced and won games for his team. Mason Mount must start doing that."
The goal of the Chelsea Football Club is to win the first title since 2017, and it was ranked fourth in the rankings last season.
Last week, former Blues star Frank Leboeuf declared it "unrealistic" for Chelsea's football club to win the Champions League this season.
"Tuchel came in and changed a few things. It worked and no one expected Chelsea to win. The FA Cup is a good thing for Chelsea now, and the Premier League or Champions League is absolutely wonderful," he said.
"The Champions League is the most impractical of the three consecutive championships, because only Real Madrid can win three consecutive championships; I hope Chelsea win it twice in a row, but that's why it is unrealistic.
"Chelsea beat it last season and it would be great to beat it again, but it's almost impossible if we read the statistics."
The Blues, who won the UEFA Champions League last season, will play Malmo at Stamford Bridge in the third game of the third team tonight.
They will then prepare for the Premier League game against Norwich City on Saturday, October 23.
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