The game on June 25 has proved very popular and tickets have been racing out the door since going on sale.
The Welsh, though, are not coming to Dunedin early and will not arrive in the South until two days before the game.
The All Blacks, as is traditional, will spend the entire test week in Dunedin.
Otago Rugby Football Union general manager Richard Kinley said there had been a huge demand for tickets from the start and demand had not let up.
There was the odd single seat to be bought but, in reality, the game was sold out.
The game would feature stands at both ends of the stadium and tickets at the two ends had proved popular.
The fact that Wales is not arriving in Dunedin until the Thursday is hardly a surprise but it continues a trend in recent years in which sides have shunned Dunedin and stayed in the North Island.
Weather and logistics are often used as the excuse for teams to stay in the north and Wales has said much the same this time around.
A Wales spokesman said yesterday the team decided that because it was playing a midweek game against the Chiefs in Hamilton next Tuesday, it needed to spend a bit more time in one base.
Wales will be based in Wellington for the best part of the week and not arrive in Dunedin until Thursday afternoon. The test will be played just over 48 hours later.
Kinley said it was not a great issue the Welsh were not coming early to the city. People were not overly concerned about the visiting side and were more interested in watching the All Blacks.
The national side will play its first test in the city for two years, not having played at the covered stadium since 2014.
Wales last played a test in Dunedin in 2010, which was promoted as the last test at Carisbrook.
The All Blacks won 42-9 that day on the back of Dan Carter scoring 27 points.
