"conditional upon compliance" is correct and can be used in written English.
It is typically used to indicate that something is dependent on or subject to the fulfillment of a condition or requirement. Example: The promotion is conditional upon compliance with the company's code of conduct.
Membership of the new group, the Association of Labour Providers (ALP), "will be conditional upon compliance with a strict code of practice", according to its website, although in fact so far no vetting has taken place.
The requirement to attend work-focused interviews introduced under Pathways to Work has been extended into a requirement to engage in work-related activity for all but the most severely disabled, linked explicitly to payments, with around one quarter of the existing benefit payment made conditional upon compliance.
New environment protection rules, which will make 30% of national budgets for direct payments conditional upon compliance with mandatory greening measures, must be made more flexible, say MEPs.
Export credit agencies, for example, should make their support conditional upon full compliance with the guidelines, and in the future, the rights of investors under investment treaties should be made conditional upon the investors acting in accordance with the guidelines".
By using love withdrawal, the parent communicates to the child that his or her love and affection for the child are conditional upon the child's compliance and success.
The Westphalian condition of organised anarchy is replaced by conditional state sovereignty; conditional in compliance with citizens' sovereignty.
It added that none of the documents submitted by the commission contained evidence proving that Bayer intended to impose an export ban on its wholesalers or that supplies were made conditional on compliance with any ban.
These are often conditional cash transfer programs, in which eligible households are given transfers conditional on compliance with certain requirements.
Social norms instead are conditional, and compliance crucially depends on having the right kind of expectations in the appropriate situation.
Citizenship, in modern British rhetoric, is conditional upon the money you bring in.
