The youngster netted his second goal of pre-season in Sunday's 4-1 victory but the Blues boss does not want to put pressure on his charge's shoulders by putting him in the same bracket as the Ivorian, who scored 157 goals for the club.
Mourinho told reporters after the match: "We must respect Romelu and not compare him with Drogba as Drogba is a legend in this club.
|LUK AT HIM GO!|
|40/1||Romelu Lukaku is 40/1 with Bet365 to be the top scorer in the Premier League|
The former Real Madrid coach was also pleased with the rest of his team and their pre-season preparations so far.
With trialist Bertrand Traore, Kevin De Bruyne and Victor Moses also grabbing a goal each, Mourinho insisted that he was not interested with the result.
"I am happy with the pre-season matches so far as we are able to apply what we did in training," he continued. "It was never about the result but more about the fitness and the performance of the players."