The Strengthening and Enhancing Cybersecurity by Using Research, Education, Information, and Technology (SECURE IT) Act, according to McCain's website, would promote collaboration between government and private industry, update existing criminal laws to reflect the digital revolution and enhance "research programs to protect critical networks."

"This legislation will help us begin to meet the very real threat of cyberattack," said McCain on Thursday. 

Meanwhile Senate Majority Leader Harry ReidHarry ReidDraft House bill ignites new Yucca Mountain fight Week ahead: House to revive Yucca Mountain fight Warren builds her brand with 2020 down the road MORE (D-Nev.), who in practice controls the floor schedule, offered a positive sign for the legislation, saying he would at least look at it to be part of larger package of legislation.

"I look forward to a debate on the Senate floor that will ensure this bill and other proposals get a fair hearing, and which will allow thorough consideration of amendments to improve the legislation," he said in a statement released Thursday.

The Senate floor has remained quiet for most of Thursday afternoon.