"I've spoken to Martin Johnson and [attack coach] Brian Smith and they can understand my reasons.
"I'm not going to say they were very supportive, but they can understand what I'm doing and were positive in what they said, so there's no bad blood or negativity there."
Cipriani conceded his Melbourne move would count him out of the 2011 Rugby World Cup in New Zealand.
But he added: "I'd like to think if I'm playing well enough and if there's any sort of injury crisis or problem, I'll only be a plane ride away."
Since bursting onto the scene as one of the most highly-rated youngsters in the sport, Cipriani has found himself in the spotlight for his exploits both on and off the pitch.
He won the Heineken Cup in 2007, starting at full-back in the 25-9 win over Leicester, and was a key part of Wasps' league-winning side in the 2007-08 season.
Cipriani's form for Wasps saw him quickly elevated to the England squad but, after two caps as a replacement, he had to wait for his first start after being dropped for "inappropriate behaviour" when seen in a nightclub after midnight a few days before the game against Scotland.
Johnson (right) has not picked Cipriani since November 2008
But when his first Test start did come, at the expense of Jonny Wilkinson, Cipriani produced an inspired display against Ireland, only for a horrendous ankle injury in May 2008 to derail his meteoric rise.
After a rapid recovery from injury, Cipriani - who enjoys a high-profile relationship with model and actress Kelly Brook - returned to action with pins in his ankle and was soon back in the England number 10 shirt.
But he struggled to regain his best form and lost his place in the national side, and - amid reports of a difficult relationship with the England coaching set-up - found himself in the Saxons squad.
He did not even make the senior summer tour to Argentina despite numerous players being away with the British and Irish Lions.
He added: "Leaving Wasps is very hard, this is my home. I see this move as the next step in my career and would never rule out coming back to play in England.
"If I did, the first place I would look at is Wasps, and we have already talked about that as a possibility for the future.
"I believe in the coaches and the players here and it will be very difficult to leave, but the decision has been made easier by having the support of (director of rugby) Tony Hanks and (head coach) Shaun Edwards."
Cipriani says girlfriend Kelly Brook fully supports his decision
Melbourne's head coach is former Australia boss Rod Macqueen and they are busily recruiting ahead of their debut Super 15 season next year.
Cipriani added that he had "always admired the Super 14" and that "the opportunity of playing in a completely different tournament against different players at this time in my career will help me develop on and off the field."
Wasps director of rugby Hanks said: "[Danny's] reasons are based on rugby and personal development."
The English club released a statement saying the 22-year-old was leaving "with the club's understanding and support".
They added Cipriani had "made clear his ambition to return to England in the future and a return to Wasps down the line has already been discussed".
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