"Some of the other players have a disappointing attitude towards the game, but Murray's a different kettle of fish."
Henman got a taste at Queen's yesterday of what life might be like if the 18-year-old establishes himself near the top of the game.
When his last 16 match followed Murray's on centre court, half the British crowd who had been cheering on the Scot left their seats.
It would have been interesting to see who the crowd would have backed if they had both managed to get through to the next round, where they were set to meet in the quarter-finals.
But while Henman defeated Australian qualifier Chris Guccione, Murray dramatically lost in three sets to the experienced Thomas Johansson.
At the tail end of a closely fought match, the Scot needed attention for a sprained ankle and cramp and his chance went.
Murray was due to have a scan today to assess the damage and, after recording his first two ATP tour victories at Queen's, was disappointed at the way he eventually went out.
Henman said: "Let's say it now, there are going to be plenty of bumps in the road and there will be ups and downs.
"I understand from first-hand experience-the pressure that is going to be on Andy, but I've got to know him and he's a very good athlete with a really good game.
"There aren't any technical deficiencies anywhere and the biggest factor is his head is soundly screwed on. That will serve him well."
Murray played to packed stands and worked the crowd well before exhaustion got the better of him.
His cramps will earn him some stick from his mentor and others in the locker room, but Henman does not think it will be too long before he can give some back.
Henman said: "I don't think we should start looking to him to be jumping that quickly, but Queen's has been an important stepping stone.
"It's a fantastic place to play, a great atmosphere with a full house. I'm sure Andy enjoyed that experience, and it will be a stepping stone to bigger tournaments and stadiums.
"Whether it's in the summer or the beginning of next year that he starts pushing on, it's good for everyone. It will be good for him."