Jamieson contributed one third of Britain's swimming medals at the London 2012 Olympics, winning 200m breaststroke silver while Rebecca Adlington took bronze in the 400m and 800m freestyles.
Winning just those three medals saw Britain fall short of its medal target of five to seven and with it lose performance director Michael Scott and a near 15 per-cent decrease in their UK Sport funding.
Scott resigned after a review into the London 2012 performance suggested he needed to be based permanently in the UK instead of splitting his time with that spent in his home country of Australia.
All the while Britain have been without a head coach following Dennis Pursley's departure to the University of Alabama, something that had been agreed well before the Olympics.
Adlington was vocal in her views over how long it has taken to announce Pursley's replacement last month and also expressed her desire that the new head coach be British.
However Jamieson, who won silver at the World Short Course Championships last month, takes the opposite view and instead is concentrating on his relationship with personal coach David McNulty.
"I think it's definitely about getting the right person in place," said Jamieson, whose coach McNulty is the interim head coach at British Swimming.
"As an athlete obviously I work with my own coach day to day and it's between myself and him. I wouldn't personally hold a head coach responsible if I had a bad swim.
"It's definitely important to have a head coach, someone who can provide advice and guidance, and I have every faith in the people who are looking for the right person.
"If there was a moment in the cycle to take time over making a new appointment then this is definitely it. There's plenty of time. The next Olympics is a long way away.
"For me it's not important as long as it's the right guy for the job. Obviously I want to see home-grown coaches progress but we've got a lot of young coaches doing a great job so, even if it was to be a foreign head coach, I don’t think it's anything to be concerned about."