Engineers from five F1 teams – including experts on stress analysis – are meeting with FIA representatives today to talk about how to integrate the Halo, and it is understood that the Red Bull idea will also feature in the discussions if there's time.
The idea features a combination of a "glass" material and carbon, as did a recent idea that emerged from Mercedes.
The key for the FIA is that the current Halo design has already gone through a lot of testing and there may not be time to complete that process.
"Obviously head protection is crucial," said Red Bull boss Christian Horner when asked by Motorsport.com.
"Red Bull is making another submission for a canopy that we believe will be a safer option. It's more of a canopy than a Halo.
"But it needs to be tested, which hopefully can be done very quickly.
"We have a committed a design study on evolving the FIA's theme, and we feel there's a viable solution."
Asked if it could be readied for 2017, he added: "Why not?"
This article by Adam Cooper originally appeared on Motorsport.com, the world's leader in auto racing news, photos and video.