"It's really important that the family be left to get on with sorting out whatever it is that they need to, and it's not helpful for me or anybody else to be commenting," Mrs Turia said.
"The police are very right when they say that people shouldn't begin jumping to conclusions about the situation."
After the death, the Labour Party reiterated calls for more co-operation across Parliament on child abuse.
As part of a deal between the Maori Party and National, the Government will set up a ministerial committee looking at poverty, and Mrs Turia said she expected the group to look at family violence.
Significant money was going into the social and health sectors to combat issues related to child poverty, but she was not satisfied it was reaching those who needed help the most.
"We want to see a much greater effort on looking at how organisations in those sectors work co-operatively," she said.
Labour has asked several times to be included in the committee, but Mrs Turia said that would be difficult.
"In terms of a ministerial committee, because we are talking about how budgets are being spent and what we could be doing differently, I do think that that should be limited to the ministerial members. Otherwise, the sad thing about it is that generally political parties play politics with it."
A separate cross-party group was a possibility. APNZ