Lambert made an attempt for Alli when he was still with MK Dons.
He recalled: “I actually spoke to him on the phone when he was at MK Dons for Aston Villa.
“He came across really well. But I knew Tottenham were in, it was always going to be difficult with Tottenham.
“He was a nice kid. He was only a baby then, that was a few years ago.
“He obviously chose Tottenham and he kicked right on. He had that little spell and then he scores two goals last week."