You must facilitate the change of registrar as much as possible for the customer, but you are not obligated to ensure that this has happened as the current registrar. The new registrar must confirm that the change has been completed.
Updated 5 Apr, 2020
The Swedish Internet Foundation is an independent, business-driven and public-benefit organization. We work for an internet that contributes positively to people and society. We are responsible for the internet's Swedish top-level domain .se and manages the operation and administration of the top-level domain .nu. The revenue from our business finances a number of initiatives in order to enable people to use the internet in the best way, and to stimulate the sharing of knowledge and innovation with a focus on the internet.