Osimhen put Mourinho's AS Roma side to the sword when he scored the opener in a 2-1 win for Napoli in Serie A on Sunday.
Osimhen's strike took him to 14 goals in 16 league games this season as Napoli stretched their lead at the top of the table to 13 points in an attempt to be crowned champions of Italy for the first time since 1990.
Speaking after the game, Mourinho told reporters when asked for his take on Osimhen: “He is of the same level as Drogba, but Didier didn’t dive.
“If Victor changes, then OK. I’d buy him if I was at a club with a lot of money.
“However, if he does go to England one day, he needs to change, because in Italy they put up with this sort of behaviour, whereas in the Premier League, they’d come down hard on him.
“I told him that he scored a wonderful goal and needs to stop diving so much.
“His goal was fantastic, he did the same thing when we met earlier this season, so he’s a fantastic player.
“But he mustn’t dive.”