The England international has come under plenty of criticism for going to ground too easily and was caught red-handed by the match official on Sunday, with Alli earning a yellow card for a clear dive inside the Liverpool area.
Pochettino, though, believes the media make too much of such incidents, saying: "Look, it was a yellow card. It happens. The referee was right. During different games, a lot of situations like this happen.
"The problem now is that we are so sensitive about the situation, and then we are so focused on Dele Alli. It's too much sometimes. There is such a focus on this type of situation. I think it's a minimal issue.
"Look, there are a lot of positives from Dele. Of course, he's not perfect. Nobody is perfect. Of course, he is a clever boy. He is a little bit nasty.
"The problem is that, more than this type of situation, I am worried we are going to change the game that we know."