"He's obviously come in and he's a little overawed as all new All Blacks are. It can be really overwhelming so [we'll be] giving him enough time to get through that phase of his All Black career.
"He's now starting to train well and looks more comfortable in the environment. [We're] looking forward to taking that next step with him."
Beauden Barrett looks certain to start against the Pumas with Damien McKenzie likely to be cover at No10, opening the door for Havili to have a run at fullback.
Barrett was recalled to the squad after Lima Sopoaga was forced to pull out as he celebrated the birth of his first child with partner Miriam.
Barrett said he was always ready to go despite initially being given a rest.
"I was ready to go. I thought it'd be too good to be true and I was expecting to go the whole time," Barrett said.
"Obviously family comes first and it's exciting for Lima. If I was in his position, that's exactly where I'd want to be."
The 26-year-old insisted Argentina - who gave the All Blacks a challenge in New Plymouth two weeks ago - would be an even tougher test at home.
"I'm fresh as a daisy, good to go, and excited.
"Heading over this early gives us a few extra days to get our bodies in the right time zone and have a really good week of preparation."