The report details that West Ham are "reluctant" to make a mid-season change of management, but may be forced into doing so depending on the next two results against Chelsea and Wolverhampton Wanderers.
"Before the first game against Valencia, Mason (Mount), Fikayo (Tomori) and I were warming up together and it didn't feel real at that point, that we were all in the Champions League together".
Barkley is battling back from ankle trouble, and while he still has his manager's backing, Lampard was quick to challenge the 25-year-old to shape up. "It is a squad game, the lads have been training well and when opportunities come they are ready".
"It's just a game for me and for us to try and win against a very hard opponent - a London derby, which adds spice to it and which the players have to be aware of, because that can change the temperature of the game".
Pushed on whether Batshuayi will start against out-of-form West Ham, Lampard added: "We'll see".
"It is not easy when you are not playing as many minutes as you want. It is great to see".
Until the goal Chelsea, though looking a little off the pace after their breathless 2-2 draw with Valencia in the Champions League, had looked the more likely to score.
"But he showed a moment of a lack of professionalism as far as I'm concerned. I wasn't always successful so that's why my feet are on the ground firmly going into this one".
Lampard has reiterated he has no concerns about his backline, however, especially with Antonio Rudiger closing in on a return to action. "We are okay, but we want more".
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