The Dragons winger is one of only four players in the current New Zealand side who have played more than 30 tests, and he was the leading try scorer (five) in the 2014 Four Nations tournament.
But Nightingale struggled against Scotland last week and also missed the Australia match in Coventry with an ankle injury.
There is also awareness that Fusitua offers a greater physical presence, which is vital against the Kangaroos. Since Mal Meninga and assistant coach Michael Hagan took over the team in May, they have emphasized size among the back five and the likes of Blake Ferguson, Josh Dugan and Greg Inglis have created havoc in this tournament.
Fusitua would also offer more of an aerial threat on attack, and his trademark diving touchdowns are hard to counter.
There is some concern over Jesse Bromwich, and the captain took no part in training today. But it was understood to be a precaution after his heavy workload against Scotland (more than 70 minutes), and Bromwich is still expected to start on Monday.
There is more doubt over Jared Waerea-Hargreaves, who hasn't played since the England test in Huddersfield almost three weeks ago due to a knee strain. He trained with the rest of the team today but it could be a risk to throw the Roosters prop in after two weeks of inactivity.
After arriving in Liverpool yesterday, the Kiwis held their second training session of the week today. It took place at the Wigan Warriors training centre, an impressive facility in Orrell (30 kilometres outside Liverpool).
Former Warriors player Sam Tomkins was an interested observer, as he completes his injury rehabilitation.
It was an impressive session from the Kiwis, with plenty of intensity and accuracy. While they are being written off on both sides of the Tasman, there appears to be a strong desire in this New Zealand camp to finish off the tour on a high.
They will still be huge outsiders on Monday at Anfield, but the game could be closer than a lot of people expect.
Autex - Proud sponsors of New Zealand rugby league since 1981