The topic of diving has resurfaced as a major talking point this week after Robben was accused of going to ground too easily to win the Netherlands a penalty in their World Cup match against Mexico.
Robben insists he was tripped for the spot-kick but has admitted to diving earlier in the game, although he will not face retrospective punishment from FIFA.
Mourinho knows Robben from his first stint in charge of Chelsea and is aware that occasionally he will look for a penalty or free-kick, but feels the Dutchman is also fouled a lot due to his exceptional ability.
The Blues boss would like players to be more honest but thinks the solution is to allow the officials to use replays to make decisions which would prevent mistakes.
Speaking to Yahoo about Robben, Mourinho said: "He was my player and I know better than many what a fantastic player he is.
"I also know that because of his speed and because of his creativity he is punished a lot with fouls by opponents who cannot stop him.
"I also know that sometimes he tries to get an advantage and he tries to get a free-kick or he tries to get a penalty.
"I think it's important for the players to help the referees by being honest on the pitch, to try to win the right way.
"But the reality is that not every player behaves that way and referees have a difficult job."
Mourinho has sympathy for officials and believes they would welcome the chance to use technology and get more decisions correct.
He said: "If you have technology, you have a chance to have a fourth official watching on the video.
"So I think the referee should also be happy to have the chance in case of doubt.
"The chance to clear every doubt and the chance to make the right decision, because when one country feels that one bad decision influences its future in the competition, I think it's hard.
"And it's important for coaches, for players but also for referees.
"I think technology is something the referees would welcome."