Rose, who scored the winner against Swansea City on Sunday, recalled a time recently when he was out to dinner with the Argentine who then gave him a dirty look when he asked his thoughts on what could become of the season for Spurs.
"Before the Man City game (which ended 2-1 to Tottenham on February 14) I was having dinner with Lamela and I was still asking him if he reckoned we can finish top four," said Rose.
"I've never seen someone look at me with such disgust.
"He said: 'My friend, we can win the league.' I realise the position we are in but I don't want to get too carried away.
"Games like the one Leicester had with scoring in the last minute, you never know, it could be a pivotal moment for them."