One well-placed Liberal source said Defence Minister Anita Anand was in the running to take over at Treasury Board, which has overall control of government spending.
The Liberal source said seven ministers would be leaving the cabinet.
The Canadian Broadcasting Corp, which also said seven would go, named Justice Minister David Lametti and Public Safety Minister Marco Mendicino as among the departees.
Transport Minister Omar Alghabra, 53, said he would leave the cabinet immediately and not run in the next election.
Public Procurement Minister Helena Jaczek, 72, and Fisheries Minister Joyce Murray, 69, said they also would not run again.
Persons:
Justin Trudeau's, Trudeau, Chrystia Freeland, Francois, Philippe Champagne, Anita Anand, David Lametti, Marco Mendicino, Omar Alghabra, Helena Jaczek, Joyce Murray, Carolyn Bennett, Alghabra, David Ljunggren, Paul Simao, Jonathan Oatis
Organizations:
OTTAWA, Liberal Party, Innovation, Treasury Board, Liberal, Canadian Broadcasting Corp, Public Safety, Public Procurement, Fisheries, Mental, New Democrats, Thomson
Locations:
Jaczek