The ministerial statement follows concerns about the "franchised" provision of higher education courses.
Under these arrangements, universities that are registered with the Office for Students, England's universities regulator, allow smaller institutions, which do not have to be registered, to teach some of their courses.
When students at these colleges take out student loans to cover tuition fees, they are paid directly to the registered university that developed their course. A percentage is then passed on to the smaller institution, which delivers the teaching.
They can also apply for maintenance loans to help with living costs, which are paid directly into their bank accounts.
The decision to pull student support from Oxford Business College courses means that new students will not be able to apply for student loans to study there, and follows allegations that millions of pounds in student loans are being claimed by people who have no plans to study.
Last month, the Sunday Times said it found evidence of some individuals enrolling on degree courses at small colleges just to access loans, with no intention of paying them back.
The newspaper said most of the students under scrutiny are believed to be at franchised universities.
It claimed there is a concern about the potential "organised recruitment" of Romanian nationals in particular to enrol on courses.
The education secretary called it "one of the biggest financial scandals in the history of our universities sector" and said she had asked counter-fraud experts to lead an investigation.