Barrett called the late conservative Justice Antonin Scalia, for whom she served as a clerk two decades ago, as her mentor, but said she would not always rule the same way as him.
The committee released the 11-page supplemental filing ahead of the start of Barrett's confirmation hearings on Monday, almost three weeks before the presidential election.
The hearing is a key step before a full Senate vote by the end of October on Barrett's confirmation to a lifetime job on the court.
"I believe Americans of all backgrounds deserve an independent Supreme Court that interprets our Constitution and laws as they are written".
Republicans are pushing to confirm Barrett before Election Day.
While Barrett quoted Alito, it may have also been a nod to Thomas, one of the most conservative justices now on the bench, who slammed the court for not taking up a gun rights case out of IL in 2015.
Senate Minority Leader Chuck Schumer, D-N.Y., has accused Judiciary Committee Chairman Lindsey Graham, R-S.C., of barreling ahead with the confirmation even as committee members Mike Lee, R-Utah, and Thom Tillis, R-N.C., have been diagnosed with COVID-19.
Barrett noted that the new case centers upon a different legal issue than two previous Supreme Court rulings that upheld Obamacare, which she had criticized.
McConnell has been laser-focused on filling the federal judiciary with conservative nominees, and the opportunity to add a third Trump-appointed justice - after Neil Gorsuch and Brett Kavanaugh - would tip the balance of the court to a 6-3 conservative majority.
Health care systems brace for potential 'twindemic' of flu and COVID-19
It's a situation health authorities want to avoid. "It's never been more important than it is now to get vaccinated". The flu vaccine is just one of many vaccines that help fight off infections and viruses in not just you, but others.
Democrats have focused their criticism so far on Barrett's potentially vital role in a case pending before the Supreme Court in which Trump and Republican-led states are seeking to invalidate the Affordable Care Act healthcare law, often called Obamacare.
The Supreme Court is scheduled to hear arguments on November 10 regarding whether the whole law should be tossed out.
The hearing room was largely empty Monday and some senators tuned in virtually, citing the coronavirus. Trump's comments have raised alarms that he might try to overturn a win by his Democratic challenger, former Vice President Joe Biden, and is counting on loyalty from his appointees should cases reach the high court.
In 2018, a three-judge panel ruled that IN laws requiring that funerals be held for fetal remains after an abortion or miscarriage and banning abortions because of the sex, race or developmental disability of a fetus were unconstitutional.
But committee chairman Sen. At the September 26 ceremony, few guests wore masks, and attendees mingled and sat in close proximity to one another both indoors and outdoors.
Schumer also said Barrett should recuse herself from any cases involving the presidential election because of statements made by Trump in which the president has said the court is likely to have election cases.
Democratic vice presidential nominee and Sen. Barrett could not recite specifics, including that 23 million people are covered by the law or that more than 2 million people are on their parent's health insurance.
Graham asked Barrett, a devout Catholic and a favourite of religious conservatives, whether she could set aside her religious beliefs in making decisions as a justice.
Barrett said she and her husband "knew that our lives would be combed over for any negative detail, we knew that our faith would be caricatured, we knew our family would be attacked".
"You would not be getting Justice Scalia, you would be getting Justice Barrett". They said their efforts will nudge the confirmation process along, while also motivating conservative voters to turn out for Trump and Republican candidates next month.
After the committee completes the hearings, which is expected to happen on Thursday, Graham can move for a committee vote.