Chelsea have struggled at the start of the season and have only three wins from their opening 11 Premier League games.
Mourinho is under pressure at Stamford Bridge and reports claim he is close to being sacked by club owner Roman Abramovich.
“Jose Mourinho loves a high-intensity game, and I didn’t see that,” Lampard told Sky Sports.
“I watched Chelsea press [against Liverpool], and it was broken. When you are a couple of seconds late, the opponents can play out.
“I don’t think I’m being over-critical, I know the boys, but some people are leaders and vocal in the dressing room. We all know Chelsea have had that spine for quite a few years, but you look around now, and you think do they [still]?
“Eden Hazard is one of the best players in the world, he proved that last year, but he’s not going to be a vocal man. He’s a player to get on the ball and make things happen going forward. You have to look around the team and hope that changes very quickly.”
Lampard continued: “This is not a great moment, this is not a time to flick the ball around the corner and have great games. This is a time for players to knuckle down and win games, maybe the hard way. These rumours around big players… the problem is when you are having a hard time, these stories become bigger. I don’t think those words would have been spoken, but it’s not great that they’re coming out.
“When you look at it, it is crazy [the numbers of managers Chelsea have had in the Roman Abramovich era]. But Chelsea is a unique club. I think there’s such a desire to win and a pressure to win. The owner, the board, they have taken the decisions to win, and to be fair to them, as Chelsea people we can’t complain.
“We have had a lot of managers, and it might look messy, but we have got a lot of Premier League titles and a Champions League. What has been said recently is they want stability, so that’s the interesting thing to see now.
“Stability is the ideal. Manchester United were the ideal with Sir Alex Ferguson and the same with the great Liverpool managers of the past, it’s the ideal. You want to see a manager stay, you want to see young players coming through, and that’s the intriguing thing to see now, to see if Chelsea stick with him. He’s got a four-year contract and he has got the best record as Chelsea manager. He is proven world class, and I think they should stick with him.”
