Question to the Home Office:

To ask the Secretary of State for the Home Department, what estimate he has made of the number of rejected Iranian asylum seekers in the UK who have no recourse to public funds.

Asylum Seekers whose claims and, if appropriate, appeals have been refused are no longer eligible for asylum support and are expected to return home. We offer assistance to those who choose to do so by actively promoting the Home Office Voluntary Return Service. The Home Office continues to provide accommodation and support to those who are temporarily unable to leave the UK because of a practical or legal obstacle through the Section 4 provisions, and to families with children under the age of 18.

Information about asylum decisions, broken down by Country of Origin, is available in the published statistics here:
https://www.gov.uk/government/publications/immigration-statistics-year-ending-june-2018/how-many-people-do-we-grant-asylum-or-protection-to#asylum-applications-and-initial-decisions

No Recourse to Public Funds is the default condition for grants of leave to remain in most categories, and is a separate issue to that of asylum seekers who are no longer eligible for support. Leave to remain in the UK is normally granted with a condition that prevents the person and their dependants from receiving welfare assistance from public funds. However, where the person qualifies for leave to remain on grounds related to their family or private life the condition is lifted if they or they or their dependent children would otherwise be destitute.