Sen. Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE (R-Texas) is threatening that Republicans could move to change Senate rules if Democrats attempt to block President Trump’s Supreme Court nominee, Politico reports.

"The Democrats are not going to succeed in filibustering the Supreme Court nominee," Cruz told Politico in an interview. "All procedural options are on the table. The bottom line is we will confirm a strong conservative to replace Justice [Antonin] Scalia."

Senate Republicans must secure 60 votes to prevent a filibuster, but the party could potentially lower that threshold if Democrats try to filibuster the nominee.

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But some Senate Democrats have vowed to do everything in their power to block Trump’s pick to fill Scalia’s still-vacant seat, after Republicans refused to even hold a hearing for former President Obama’s Supreme Court nominee, Merrick Garland.

“This is a stolen seat,” Sen. Jeff Merkley Jeffrey (Jeff) Alan MerkleyThe Hill's Morning Report - Sponsored by The Air Line Pilots Association - Trump, Biden renew push for Latino support Sunday shows - Trump team defends coronavirus response Oregon senator says Trump's blame on 'forest management' for wildfires is 'just a big and devastating lie' MORE (D-Ore.) told Politico on Monday. “This is the first time a Senate majority has stolen a seat. We will use every lever in our power to stop this. ... I will definitely object to a simple majority.”

Trump is set to announce his Supreme Court pick Tuesday and has long claimed he will appoint a conservative justice.