Striker Benteke has scored 15 goals since his £8million summer move from Genk and has already been linked with Arsenal, Tottenham and Manchester City.
Speaking ahead of the Premier League clash at Arsenal, Lambert said: "Christian is playing very well for us and that's the main thing.
"It doesn't concern me who he is linked with and who he is not linked with.
"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."