Alan Johnson has predicted that "a whole host" of schools will want to become trusts when the government's education reforms become law.
The Education and Inspections Bill passed its final Commons hurdle on Wednesday night, despite another Labour backbench rebellion.
Some 46 Labour backbenchers opposed the Bill in the final Commons vote.
But with Conservative support, the legislation was approved by 422 votes to 98, a majority of 324.
It will allow parents, businesses and voluntary groups to set up schools. Existing schools will also be able to gain greater independence by choosing to become trusts.
In the Commons on Thursday, Johnson was asked how many schools would become trusts by 2010.
The education secretary said he did not have a figure because it was up to the schools to seek trust status, but he expected there to be a rush of interest when the legislation is given royal assent.
"In my view, there will be a whole host of schools wishing to become trusts. I also believe that the prime minister is absolutely right when he speaks with enthusiasm about this," he said.
"The reason why this policy is being put forward is because we really do believe that trusts can bring together the outside experience, the experience of universities and colleges, the experience of business trusts, to actually contribute to raise educational attainment in a school."
Johnson also said there was a "whole series of people" waiting to sponsor city academies, who had not been put off by recent controversies surrounding the 'cash for honours' row.
