Specifically, this is another Parliament vs Commission issue. The Commission loves to have little deals away from the public where everything is quietly smoothed over, while the Parliament is trying to build popular legitimacy.
The EU should abandon the stupid Commission structure and have a real Parliament that can actually draft legislation. The current one can just vote down legislation drafted by the Commission.
Also, I'm not sure there's much pressure involved. Mass surveillance is a thing "centrist" EU politicians very much want themselves.