Villa owner Lerner was linked with a club sale in the press last weekend.
But Lambert says: "I'm always in contact with Randy and we've never spoke about anything like that.
"I don't buy into too much of that anyway.
"I'm pretty sure I would be one of the first to know (if anything was happening).
"He's got every right to decide what he wants to do. He's the main person at this football club. I get on really well with him and we are working to drive the club forward.
"I don't have a problem at all."
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