They will join the squad in Cape Town for the final Rugby Championship Test in Cape Town a week later.
A group of players will return home from Buenos Aires, to be determined after the test.
Coach Steve Hansen says it is an important time of year to keep players fresh, with the world champions keen to retain their standards through to late November at the end of another travel-heavy programme.
"This is the hardest time of the year for us, so we are just trying to think outside the box and think of ways to keep the players fresh," he said.
"This also gives us a chance to build player depth and experience.
"It puts a lot of pressure on us going to Argentina because they are a good side and we'll need to play well to perform there, but we're confident that the group we are taking there will be able to do the job."
Also missing from the 28-strong group is experienced outside back Israel Dagg, who played in the 39-22 defeat of Argentina a week ago but missed Saturday's record 57-0 massacre of the Springboks in Auckland.
Dagg has a knee injury which may need surgery, potentially ruling him out for the season.
Already missing for the rest of the 2017 with injury are original Rugby Championship squad members Jordie Barrett, Owen Franks and Joe Moody, while Ben Smith has taken up a sabbatical.
Barrett's absence means Lima Sopoaga will probably start at first five-eighth against the Pumas, with his only logical backup being Damian McKenzie, the starting fullback in the last two Tests.
Veteran blindside Kaino returns after taking time away to deal with personal matters while Todd is back from a wrist injury and will challenge Ardie Savea for the starting openside berth.
There is pressure on Tuipulotu, whose form dipped this year in Super Rugby, resulting in his omission from earlier squads.
The Test may be a chance to hand a debut to Crusaders utility back David Havili.
The squad to travel to Argentina is:
Forwards: Wyatt Crockett, Kane Hames, Nepo Laulala, Jeffery Toomaga Allen, Ofa Tu'ungafasi, Dane Coles, Codie Taylor, Nathan Harris, Scott Barrett, Luke Romano, Patrick Tuipulotu, Vaea Fifita, Jerome Kaino, Kieran Read (captain), Ardie Savea and Matt Todd.
Backs: Tawera Kerr-Barlow, TJ Perenara, Aaron Smith, Lima Sopoaga, Anton Lienert-Brown, Ngani Laumape, Sonny Bill Williams, Rieko Ioane, David Havili, Damian McKenzie, Nehe Milner-Skudder and Waisake Naholo.
