بسم الله الرحمن الرحيم
The amount (commission) given to the doctors apparently is not the compensation of anything as the doctors receive their compensation in the form of fee hence this amount seems bribe. Hadith sternly curses those who take bribe as well as those who give it.
لعن رسول الله صلى الله عليه وسلم الراشي والمرتشي (ابوداؤد 3580)
Hence one should avoid taking such kind of commission as long as one can.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.