Washington (CNN) A bipartisan group of senators introduced legislation Wednesday that would make it harder for special counsel Robert Mueller to be fired for investigating Russian meddling in the 2016 election.

Sens. Lindsey Graham, R-South Carolina, Chris Coons, D-Delaware, Thom Tillis, R-North Carolina, and Cory Booker, D-New Jersey introduced the Special Counsel Independence and Integrity Act, which protect Mueller, including ensure that the special counsel can only be fired for "good cause" by a senior Justice Department official.

The news comes after White House press secretary Sarah Sanders said publicly that President Donald Trump believes he has the power to fire Mueller . She did not suggest the President would be moving to do so.

The legislation also states that if Mueller was fired there would be a 10-day window for Mueller to seek expedited judicial review of his removal to determine whether the firing was for good cause -- if it wasn't, his firing wouldn't take effect.

The legislation merges previous legislation proposed by the senators last year.

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