Murray beat Haase 6-1 6-1 6-4 in an hour and 27 minutes on Court One, meaning he has taken less than four hours to reach round three after another??straight-sets victory over Mikhail Kukukshkin on Tuesday.
Italy’s Andreas Seppi awaits in the third round and Murray was relieved to save energy, with the likes of Jo-Wilfried Tsonga and Roger Federer??potentially to come.
“In Grand Slams you have to try to conserve energy when you can because the two weeks can be quite draining physically and mentally,” Murray said.
“If you can get yourself off the court quickly and capitalise if your opponent maybe isn’t playing as well, if you’re on your game, (you have to) try to push yourself to keep playing that way.
“It can pay off towards the end of the tournament so I’m glad I got done quickly.”
Murray felt unsatisfied after his battling win over Kukushkin but the British No 1 raised his level against Haase, with a more aggressive and dominant display.
Haase has caused Murray problems in the past, in particular during two close defeats at the US Open, but the world No 78 was never allowed to find his rhythm.
“The first couple of sets were excellent,” Murray said. “Even the third set, some of the points were very good. I moved well today, hit the ball a lot cleaner from the back of the court. It was a good match.”
Murray added: “I wanted to make sure. I’ve obviously had some tough matches with him in the past.
“I know when he’s on, he can make it extremely difficult. He can be pretty flashy and play two or three great games in a row.
“I wanted to make sure that I didn’t give him that opportunity.”
Murray can now focus on Seppi, who has never been past the fourth round at Wimbledon and has failed to win a single set in six consecutive defeats to the world No 3.
The Italian has enjoyed an encouraging year, however, after he inflicted a shock defeat on Federer at the Australian Open, before losing to the Swiss in the final at Halle last month.
“Seppi has had such good results this year,” Murray said. “He made the final a couple of weeks ago in Halle, plays well on the grass.
“He won against Roger (Federer) at the Australian Open this year – he’s capable of playing some top tennis.”