The decision was taken following Thursday morning's meeting of the F1 Commission, a 26-member group comprising representatives from the teams, the FIA, Formula One Management, race promoters, sponsors and other technical partners.
The belief is rather than taking a knee-jerk reaction, the elimination system that made its debut ahead during the Australian Grand Prix weekend should be given another chance, and then be thoroughly reviewed ahead of making potential tweaks.
"They're going to do what I proposed, which is leave things as they are for this race [in Bahrain]," F1 supremo Bernie Ecclestone told Autosport.
"After that we will then have a good look and decide whether what was done was the right thing to do, the wrong thing to do, does it need modifying, does it need scrapping?
"This was an FIA idea in the first place, so I've said to them we'll support whatever they think is the right thing to do. But as nobody knows what the right thing to do is, we've said we'll stay where we are and have a look after this race.
"Then two races in we'll see, as it was a prototype, what was right or wrong. The teams didn't understand what they were doing either, which didn't help at all."
A hybrid version of qualifying was on the table as an option for the Commission.
Read the full article on eurosport.co.uk: Elimination qualifying to stay for Bahrain