As part of its City of Literature push, Edinburgh would like to become a "city of refuge" for persecuted writers.
The Scottish capital could offer sanctuary to those unable to work and live safely in their home country.
If senior councillors give the proposal their backing on Tuesday, the Lord Provost Lesley Hinds will launch a consultation on the move.
Edinburgh would then look to bid for official status, aiming to be accepted in time for this year's book festival.
The idea has been brought forward by the Scottish branch of PEN, a worldwide association of writers committed to protecting freedom of expression.