Villa manager Lambert senses no waning of Lerner's interest despite limited funds available for new players during January - a stark contrast to the big spending of the Magpies.
Lerner has spent more than £250million in six and a half years at Villa including £23million on new signings last summer.
There will be no spending along those lines during the current transfer window but Lambert was aware of the need to work within certain financial parameters when he replaced Alex McLeish.
When asked about the current limited transfer funds, Lambert said: "I don't know whether [it's because of] the outlay since Randy's been here, putting all that money into the club. But you can't spend something if it's not there. I think he has got money, or his own wealth, entirely his own wealth.
"I think what's happened is the club spent millions a couple of years back. It can't do that, there's absolutely no way I can do that. Finance dictates a lot of things. Finance will always dictate a lot of things."
Lambert added: "The one thing is he's not washed his hands of [the club].
"Anyone who puts that level of money in over the years...it's been an incredible amount of money.
"I think people are looking for things because he doesn't come [to all the games].
"If he has got other commitments, that's entirely up to himself, if he has got other things on. But he's definitely behind the club. He wouldn't have done what he's done if he wasn't committed to it."