The sight-loss-support charity sent out RFIs last week. It will hold initial meetings with agencies before drawing up a shortlist for the pitch stage.
The RNIB is believed to want a shop to create a new campaign.
It has worked with Arthur London, Good Agency and St Luke’s in the past.
Last year, Facebook apologised to the RNIB after it banned the charity’s ad that highlighted the lack of support for people losing their sight. The "#Seedtheneed" spot was created by Good Agency and ran on YouTube and Facebook.
Facebook initially banned the film on the grounds that it broke the social network’s guidelines on use of language that is "profane, vulgar, threatening or generates high negative feedback". Facebook later reversed that decision.
A spokeswoman for the RNIB declined to comment.