Even so, the EFF maintains that the new bill isn't perfect.

"Currently, the bill specifically authorizes companies to use cybersecurity as an excuse for engaging in nearly unlimited monitoring of user data or countermeasures (like blocking or dropping packets)," EFF says.

In his op-ed, the president wrote that the cybersecurity bill about to be considered in the Senate reflects input from industry and civil libertarians, has bipartisan support and is backed by homeland security, intelligence and defense leaders in Washington.

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