The name of a Wellington woman charged with murder will stay secret for now as her mental health is assessed.

The 38-year-old is accused of murdering a 37-year-old woman in the Wellington suburb of Strathmore early last month.

Both women have name suppression for now.

The murder-accused did not appear in the High Court at Wellington this morning for a brief hearing about the case's progress.

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Justice Simon France said the accused would stay in custody until a further hearing in August, before which her mental health will be assessed.

Shortly after the killing, police said the murder-accused's child was being looked after by family.