Harbhajan Singh, pictured bowling at the 2009 World Cup, says the Black Caps are better than Australia.

The Black Caps are "definitely better than Australia" but India have been too good in the New Zealand one-day international series, claims former Indian star Harbhajan Singh.

India – ranked second in the world – established an unassailable 3-0 series lead after a comprehensive seven-wicket win over third-ranked New Zealand in Mount Maunganui on Monday.

But Harbhajan – the spin bowling legend nicknamed 'The Turbanator' – clearly believes Black Caps fans need not despair.

"This current New Zealand are definitely a better team than Australia but don't forget how well India played," he told India Today.

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ANDREW CORNAGA/PHOTOSPORT Mohammed Shami was the man of the match in India's third ODI win over New Zealand (File Photo).

"Sometimes, we look to the other teams play well and we forget how good our own team is and that no team can stand in front of our team. It is great to see the way our team is playing. Everyone is in form.

Harbhajan praised man of the match Mohammed Shami, who took 3-41, with New Zealand top scorer Ross Taylor (93) among his victims.

"He has been phenomenal, he is someone who India will need at the ICC World Cup 2019 and it is so good to see him picking up those wickets and winning the man-of-the-match," he said.

"India are playing different combinations in different conditions and it's all working. It's a good headache to have.

"Virat Kohli will be happy that India have a great chance to win the World Cup. Hope every player stays fit. These are great signs for Indian cricket," he said.