Lescott, who headed Toffees' late winner at Bolton on Saturday, insisted: "The squad is full of quality and you know if anyone gets a chance, they will take it.
"It's keeping everyone on their toes. I was very disappointed not to start against Blackburn but these things happen - it's the manager's decision.
"I was thankful I started at Bolton but I'm not taking anything for granted. Stubbsy's fit for the next game and my place is not guaranteed.
"Everyone knows the squad's bigger and better now and we're all pushing in the right direction.
"We might not have had the biggest squad last year but that isn't the case now - and if you don't play well you could face a month out.
"If I'm not doing it in training or start and don't play well, Stubbsy will come in and take my place.
"It's the same for Joseph Yobo. He knows there is tough competition. Phil Jagielka can come in and do a great job, so nobody will be resting on their laurels."