Gorsuch delivered his opening statement on Monday amid Republican praise and some opposition from Democrats, who remain bitter that former President Obama's pick for the Supreme Court, Merrick Garland, was not confirmed by Senate Republicans last year.
On Tuesday, Gorsuch faced questioning from the Senate Judiciary Committee on his views and cases that he had ruled on.
The hearings have so far been restrained and even occasionally light-hearted in tone.
If Gorsuch is confirmed, he will replace the late Antonin Scalia and give the conservative wing a 5-4 majority in the court.
The hearing is expected to started at 9:30 a.m. E.T. You can watch it live above.