How to link closed incident to problem record

Hello,

When looking at the Incidents (All) table I want to be able to write to the "Problem" field - in order to link Incidents to Problem records.

This process works when writing to incident records that are active, when writing to an Incident record that is in the state of "Closed" I receive the below message;

Security prevents writing to this field.

Can anyone please help point me to the correct access control list rule that relates to writing to closed incident records?

Should I amend an existing rule, or create a new unique rule relating to write permissions to closed incidents?

I experience the issue in both my organisations PROD / DEV systems, and also my ServiceNow developer instance with the "out of the box" configuration. 

In all instances only the Admin account appears to be able to write to the closed incidents.

Example image attached.

Kind Regards,

Jon