In recent days, Paul's campaign against the Patriot Act has also been aimed to help build his campaign war chest. He’s called on his supporters to donate to his campaign for the White House in order to defeat the "spying" law.
Critics said the first-term Kentucky senator is using the NSA debate as a mechanism to drive up fundraising.
In fact, on the campaign's website that night, supporters could purchase a "filibuster starter pack."
A spokesperson for Paul said no exact plans are set for Sunday.
Ted Cruz's spokesman Rick Tyler called the ad "embarrassing."
"The 90's called. They want their ad back," Tyler told ABC News. When I asked if it might amuse younger voters, Tyler, 50, said, "No way. But what do I know? Maybe I'm old."
Paul took to Twitter this week labeling Graham as part of the "DC eye roll caucus" when the South Carolina Republican was caught on video rolling his eyes as Paul was speaking on the Senate floor.
Paul's email to supporters ends with the senator encouraging his supporters to stand with him Sunday once the Senate convenes with eight hours to go until the Patriot Act expires.
"Freedom does work," Paul wrote in the email. "And the American people can have both their Liberty and security."
The next line is a link asking supporters to contribute $20.16 if they agree with Paul.
Editor's note: An earlier version of this report attributed Paul's quote about "liberty and security" to a tweet; it was from an email to his supporters.
ABC News' Brad Mielke contributed to this report.