Lambert revealed that Lallana's international recognition has given him further hope that he can achieve the same thing while at Saints.
"It does," he told the Daily Echo. "But I'll always say, it's a cliché, but all I'm focused on is doing well for Southampton.
"Obviously, it does give you hope. Adam plays for Southampton and he has been called up. I have to concentrate on my game and whatever comes then fine.
"Whether I get it or not, it is brilliant news for Adam."