Arsenal and Tottenham are keen on the Belgium striker.
"Christian is playing very well for us and that's the main thing," said Lambert.
"It proves he's doing well for me and doing well for himself. That doesn't interest me, what other people think. I don't read the headlines. I just get told."
Asked whether Benteke will stay if Villa retain their top-flight status, Lambert said: "Yes. I don't have a problem with that at all.
"As far as I'm concerned, the guy is here and he isn't going anywhere until I say so or not really. That's the bottom line."