Villa have endured a torrid month as they have been dragged into a relegation dogfight following a run of five games without a win - four of them defeats - while two of his coaching staff have been suspended
Lambert played down growing speculation over the future of the club's ownership, with reports suggesting that current chairman Randy Lerner is ready to sell up.
In a statement released on Sunday, the American said he would respond to the "steady rumours of a sale" at the end of the season.
But Lambert was determined to stay relaxed when quizzed over his future ahead of Saturday's crucial Premier League battle at fellow strugglers Swansea City.
Lambert said: "He (Lerner) was over here on Tuesday.
"I had a chat with him. Not a long chat. I am the manager of the football club but I am not privy to everything that goes on.
"His statement to me was pretty clear - he will address everything at the end of the season. Everyone must respect that. This is his club, you have to respect his decision.
"It will become clear, I am pretty sure, when he decides what he has to say.
"I am relaxed. I am not uptight about anything. I am here to win football matches. That's always the case.
"If a new owner comes in, you have a conversation. That's normal.
"But I fully intend to be here. That's me being totally honest.
"If people come in, you sit with them and see what happens. If not, you sit with Randy, which I tend to do at the end of the season."
Lerner appeared to express sympathy for Lambert both on Sunday and shortly after the suspension of assistant manager Ian Culverhouse and head of football operations Gary Karsa.
He revealed Lambert had been forced to deal with "unexpected issues" and Lerner also made reference to the number of injuries in the Villa squad this season.
Lambert admitted he was frustrated by the "position of mediocrity" Villa have suffered in recent seasons, and he highlighted the need for future investment.
"With the size of this football club, with the fanbase it's got, I never came here to sit like this. It's been like this for the last four years," he said.
"But it's been an incredible experience these past two years. Would I have changed the experience? No. Because it will make you stronger.
"The lads have always given me everything they have. I don't think anyone can argue with that. We have had our ups and downs.
"But this football club has been in a position these past four years of mediocrity. That's the bottom line. It will need investment, that's for sure, to compete at the top end.
"The football club will need a kick-on. I think Randy has been brilliant with that since he's been here. He's been excellent with me on that side of it.
"But if you're going to go and buy players - the ones I have been linked with - then you will need money."
Meanwhile, Lambert insisted he was pleased with claims from Yacouba Sylla that he is disappointed to have been given limited first-team game-time.
Sylla - who has made only four appearances, all as a substitute, this calendar year - was quoted this week as saying he is looking to leave the club on loan in the summer in search of regular senior football.
And Lambert said: "I understand any player's frustration at not playing. You wouldn't expect people to just sit there and not play. You are glad on that aspect.
"Should he have spoken about it? Probably not. But that comes with experience. I am glad he's disappointed at not playing. That's normal.
"The three lads in the middle of the pitch have been doing really well for us, though. So Yac just has to do his utmost to get in the side."