The two-Test series clashes with the final stages of the French championship where five of the Pumas ply their trade.
But Argentina has declined to invoke strict IRB rules to force the release of their players even though it will leave them without their pivotal scrum-half.
“It is a problem but I can understand the players want to stay with their clubs and it will give other players their chance,” said Argentina coach Marcelo Loffreda.
Ignacio Corleto, Juan Hernandez, Rimas Alvarez-Kairelis and Mario Ledesma are the other players absent against Wales and the All Blacks the following week.