The Chiefs are set to play the Pumas in Argentina during their mid-season break in next year's Super Rugby competition.
Although nothing has been finalised, the Argentina Rugby Union are keen to fund a 10-day visit from the Super Rugby champions as the Pumas are seeking a match ahead of two home Tests against England.
The match has been scheduled for Buenos Aires on the weekend of round 16 of Super Rugby, when the Chiefs have a bye.
The tournament goes into a hiatus for the following three weeks to cater for the June Test window.
The All Blacks will play a home series against France during that time and Chiefs players called up to Steve Hansen's squad will not be available for the trip to Argentina.
Chiefs coach Dave Rennie is worried that his other players will be out of action for an entire month.
"The bye was a chance to go to Argentina and give the Pumas a bit of a hit-out and the chance for our boys to play an international side," Rennie told New Zealand's Sunday Star-Times.
"We'll take most of the main squad, barring a few broken guys and the All Blacks, and maybe a couple of extra guys from our development squad. It's a bit of a carrot for those guys."
The Pumas' best players are based in Europe and won't play in the match.
The Chiefs will effectively take on a second-string national team which will be similar to the side that beat France in one of two Tests earlier this year.
Rennie's men are set to leave the day after their clash with the Crusaders on May 24, and arrive back five days before New Zealand's first Test against France at Eden Park.
That time-frame means that the majority of the Chiefs squad will be given 12 days rest. Another local match against a combined Counties Manukau and Bay of Plenty team is being lined up.
"We're still keen to have one more hit-out in that three week window to make sure we're ready to go," added Rennie.