Lambert takes his Villa side to Stamford Bridge to face Chelsea on Wednesday well aware that their last journey to the same ground ended in an embarrassing 8-0 defeat.
That was the club's heaviest ever top flight loss, and marked the lowest point of a season of almost constant struggle against relegation.
The Scotsman has thanked American Lerner for sticking by him through such performances, believing that such support has helped the club and manager.
"I speak to Randy every week anyway and he's always really supportive," Lambert said.
"I spoke to him the other night after the Arsenal win. He probably says one thing to me and then goes and vomits somewhere else.
"He's been great to me, he really has and that's what you need, that support."
Villa will go to the top of the Premier League table with a draw at Stamford Bridge, sitting ahead of Chelsea on goals scored.