A bipartisan pair of senators is hitting the Sunday show circuit this week to promote their bill aimed at protecting special counsel Robert Mueller from being fired by President Trump.

Sens. Thom Tillis Thomas (Thom) Roland TillisWhat Senate Republicans have said about election-year Supreme Court vacancies Chamber of Commerce endorses McSally for reelection Airline job cuts loom in battleground states MORE (R-N.C.) and Chris Coons Christopher (Chris) Andrew CoonsBiden promises Democratic senators help in battleground states Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE (D-Del.) will appear on ABC's "This Week" as they seek to garner support for the Special Counsel Integrity Act, which would let Mueller or any special counsel challenge their firing in court. Tillis will also appear on Fox News Sunday.

Tillis said Thursday that the effort "reaffirms our nation’s system of check and balances" and would help ensure "investigatory independence" for special counsels.

Meanwhile, Coons called the legislation "critical" to ensuring the investigation into possible collusion between the Trump campaign and Russia can go forward.

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Trump's attorney Jay Sekulow this week denied that the president was considering firing Mueller, who is leading the federal probe into ties between the Trump campaign and Russia.

In an interview with The New York Times last month, Trump said he wouldn't rule out firing Mueller while warning the special counsel against investigating his family's finances beyond the scope of the Russia probe.

The special counsel investigation has moved into a new phase with the impaneling of a grand jury in Washington, with reports this week that subpoenas have been issued.

Senior White House adviser Kellyanne Conway is slated to appear on the same program Sunday as Tillis and Coons.

Meanwhile, Sen. Tom Cotton Tom Bryant CottonRenewed focus on Trump's Supreme Court list after Ginsburg's death Republicans call for DOJ to prosecute Netflix executives for releasing 'Cuties' Loeffler calls for hearing in wake of Netflix's 'Cuties' MORE (R-Ark.) will appear on CBS' "Face the Nation" in support of his bill rolled out at the White House this week that would dramatically reduce legal immigration to the U.S.

Trump has touted the legislation as "historic," saying Wednesday that the RAISE Act “would represent the most significant reform to our immigration system in a half a century."

Here's the full Sunday shows lineup:

ABC's "This Week": Sens. Thom Tillis (R-N.C.) and Chris Coons (D-Del.) speak about their bill to protect special counsel Mueller. Senior White House adviser Kellyanne Conway also joins the show.

NBC's "Meet the Press": Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeRepublican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style Bush endorsing Biden? Don't hold your breath MORE (R-Ariz.) will speak about his new book attacking the GOP for abandoning conservatism; Gov. Jerry Brown (D-Calif.) will also appear.

CBS' "Face the Nation": Sen. Tom Cotton R-Ark.) speaks about his immigration bill. Govs. John Kasich (R-Ohio) and John Hickenlooper (D-Colo.) will make an appearance, as will former Homeland Security Secretary Jeh Johnson who will likely also speak about immigration.

CNN's "State of the Union": Sen. Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's Morning Report - Sponsored by The Air Line Pilots Association - White House moves closer to Pelosi on virus relief bill Second GOP senator to quarantine after exposure to coronavirus GOP-led panel to hear from former official who said Burisma was not a factor in US policy MORE (R-Wis.); Rep. Adam Schiff Adam Bennett SchiffTop Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence Overnight Defense: Top admiral says 'no condition' where US should conduct nuclear test 'at this time' | Intelligence chief says Congress will get some in-person election security briefings Overnight Defense: House to vote on military justice bill spurred by Vanessa Guillén death | Biden courts veterans after Trump's military controversies MORE (D-Calif.) of the House Intelligence Committee; Gov. Chris Christie (R-N.J.).

"Fox News Sunday": Tillis joins the program.