As the Tongan team cut their squad to 19 on Monday, the loss of Jennings was the biggest blow.
The forced withdrawal of the 31-year-old who has played 10 Tests for Tonga and seven for Australia leaves Solomone Kata (Warriors) and Kotoni Staggs (Broncos) as the logical choices to play in the centres in Auckland on Saturday.
"It is a shame to lose Michael because he has really been playing well for Parramatta," Mate Ma'a Tonga coach Kristian Woolf said.
"He has also brought wonderful experience to our side through the 2017 World Cup and in Tests last year.