How To apply? UK HSMP 

You should apply to the Highly Skilled Migrant Programme Team at the Border and Immigration Agency in Sheffield. You can apply from abroad and in most cases; you can also apply from inside the UK if you are here with Home Office permission.

Individuals already in the UK may apply to switch into HSMP without leaving the UK provided they have leave as a:

Work permit holder; or 
Student who has successfully obtained a degree level qualification on a recognised degree course at either a UK publicly funded further or higher education institution or a bona fide UK private education institution which maintains satisfactory records of enrolment and attendance; or
Postgraduate doctor or a postgraduate dentist or trainee general practitioner; or
Working holidaymaker; or
International Graduates Scheme participant; or
Innovator; or
Fresh Talent: Working in Scotland scheme participant.