Cannot create a task on profile of another user

[link-transport-mickoz]

Hello,

I'm trying to create a task on user profile (content container, belonging to user\models\User object), but I'm receiving 403 Forbidden:

{
    "code": 403,
    "message": "You are not allowed to create task!"
}

I'm authenticating with bearer token of a user that belongs to Administrator group. Creating task on my own profile works through the API. I can also create a task for another user using the UI, but not the API.

Do I have to change some specific permission? If it's not possible, can you suggest a workaround?