Jarvis, 29, has won 17 caps for Wales and last played in the Six Nations win over Italy in March 2016.
James, who will miss the first match of the three-Test series against the world champions in Auckland, has not recovered as quickly as hoped, but remains with the squad.
Wales have lost 26 matches against the All Blacks since beating them in 1953.
James is also likely to miss the game against the Chiefs in Hamilton on Tuesday, 14 June.
Jarvis, who is joining French Top 14 side Clermont Auvergne from Ospreys, will arrive on Wednesday morning in New Zealand.
The Exeter-born player graduated to professional rugby via the Bath academy, and played for England Under-16s and U19s.
But he successfully pursued Wales honours via Ospreys, having been eligible because of his Merthyr Tydfil-born grandmother.
He has started six Wales games, coming off the bench for the remainder of his caps.

Georgia and Romania have been pushing to be included in the top tier of European rugby.
Six Nations boss Feehan is keen to keep the status quo and dismissed relegation talk.
"In the short to medium term there is not any genuine likelihood of that happening," said Feehan.
Italy were added to the old Five Nations tournament in 2000 and have propped up the table 11 times in the 17 tournaments since.
Find out how to get into rugby union with our special guide.
But Feehan has dismissed any immediate prospect of relegating the Italians who open their campaign against Wales next Sunday in Rome.
"Some comments are very unfair about Italy," Feehan told BBC Radio Wales.
"We think they have been a good addition to the Championship since they have entered.
"They have improved dramatically but other teams have improved dramatically - it's a relative thing.
"It's not that long ago they beat South Africa in the autumn series so they are capable of beating anyone on their day and worthy participants.
"We are very happy with how the Italians are approaching things.
"There is a long way to go in terms of being competitive to win the title. But on any given day they can beat any of the sides and they have done that, apart from England."
The Six Nations have also employed bonus points for the first time although a side who wins the Grand Slam are guaranteed to win the tournament.
"It is something we have considered for many years but resisted to date," said Feehan.
"If you look at the Six Nations, it is inherently unfair because some teams have three home games and other teams have two home matches in any given year and there is an imbalance.
"That word balance is key and we are looking to see whether the benefits we get on encouraging more tries to be scored is better than any direct imbalance.
"We decided we had to give it a try to see if it works.
"If you look at the the championship two years ago, we ended up with 27 tries on the last day.
"Teams can score tries when they wish to and need to.
"That's what we are trying to encourage."
Listen back to the full John Feehan interview on BBC Radio Wales' Jason Mohammad show on Monday, 30 January.

Scott Coleman, 41, from Liverpool, was caught in 2003 but was freed on bail and failed to reappear.
He was finally detained in Amsterdam earlier this year before being extradited.
Coleman admitted being concerned in the supply of heroin and was jailed for five years.
Lord Glennie jailed him for four years for his involvement in the heroin supply and a further year for failing to appear.
The judge told him at the High Court in Edinburgh: "The court cannot turn a blind eye to this flaunting of its authority."
Coleman is also wanted by the Spanish authorities after he was sentenced in his absence to more than six years imprisonment for a drugs offence there.
Defence solicitor advocate Ewen Roy said Coleman made "a series of dreadful decisions" some time ago.
He said that before he became involved in bringing drugs to Scotland he had no involvement in crime, but was under financial pressure at the time.
Coleman acted as a courier in the supply of drugs from Merseyside to the north east of Scotland.
A major police operation targeting the large scale illegal trade resulted in the jailing of brothers Derek and Jason McAllister for 12 and 10 years in 2006.
Tight-head prop Aaron Jarvis is flying to New Zealand to join Wales as cover for Paul James, who has a calf injury.
[NEXT_CONCEPT]
Six Nations chief executive John Feehan says relegation from the tournament will not be introduced in the short to medium term.
[NEXT_CONCEPT]
A man who went on the run for more than a decade has been jailed for trafficking heroin worth more than £200,000 into Aberdeen.