Former captain John Terry laid bare a series of grievances and personnel issues yesterday which he vowed to raise at a pre-planned team meeting with manager Fabio Capello last night.
Opinion has been mixed about Terry's motives for speaking out, but Lampard said at a Monday press conference: "I don't think anyone wants to give too much away about what was said.
"I think it's been particularly overdone in terms of a 'crisis meeting'.but I understand what John Terry was saying because he's passionate like that, as a player as a person.
"Every person deals with things differently. Some won't say much and others want to hit things head-on.
"But people want to see a reaction and people have said he (Terry) has said some positive things.
"We'll try to hit things head-on on the training ground."
Lampard added at the gathering at England's World Cup training camp in Rustenburg: "It seems to me the manager and (number two) Franco Baldini have always been very approachable."
Lampard gave his unequivocal backing to Capello, insisting that he wanted him to stay in the job after the World Cup.
He said: "It's always been the same thing with football - you have your up and down moments."
He added: "I've really enjoyed working with him and, yes, I would like him to stay.
"I've been lucky enough to work with some fantastic managers and Fabio Capello is right up there."
The Chelsea midfielder dismissed the suggestion that, by picking out Wayne Rooney and Joe Cole as players who could "unlock defences", club team-mate Terry had offended him.
"I don't think players are that sensitive," he said. "I wasn't knocking John's door down saying 'Do you think I can't unlock a defence'."
Following Terry's press conference yesterday, the meeting between players and coaching staff was billed as a chance to clear the air with the former captain promising a frank exchange of views.
But Lampard said: "The meeting was just the manager dealing with the Algeria match and we moved on."
Lampard revealed nine players discussed concerns over a beer after the Algeria game but Lampard said: "I'm not a rebel - but I've had my moments! The fact I'm seen as 'a rebel' baffles me.
"It was lads sitting down talking about the game. That's the only way I've known a team to talk about results. Socialising is a completely normal thing."
On Capello he added: "I'm sure he's spoken to certain individuals because there are times he's done it to me.
"He's a strong manager and his style is very strong but we respect him very much, have faith in him and have faith we'll win on Wednesday."
The Chelsea midfielder, who revealed he does not know the line-up for the Slovenia game yet, also spoke out for David Beckham.
Lampard said: "He is not just for picking up tops. I think he has got a nice sentiment and a way of approaching people and making them feel comfortable. He's seen a lot and spoken to me at times. He's been a very helpful presence.
"One player a day comes here to speak - but what matters now is Wednesday."