We are going to take good care of him," Bauza said of Messi, who trained with Argentina on Tuesday.
"He was arriving at a new club and he needed to get himself in shape. He wasn't at his best moment," said Bauza of Higuain's fitness.
Uruguay manager Oscar Tabarez says his team are well prepared ahead of their World Cup qualifying clash with Argentina.
Lionel Messi may be a doubt for Argentina's World Cup qualifiers after Barcelona said on Monday that their star has a sore left hamstring.
Sergio Aguero and Javier Pastore have been ruled out of Argentina's World Cup qualifiers against Uruguay and Venezuela through injury.
Edgardo Bauza has virtually no time to implement any new strategies ahead of his first match in charge of Argentina, writes Tim Vickery.