Under the new policy, which is meant to avoid future public relations fiascos like the one the world witnessed earlier this week, airline crews are required to check in at least an hour before a flight leaves.
United on Friday said it was changing its policy on booking its flight crews onto its own planes following the incident.
It's no surprise airlines would want to beef up the incentives for customers they need to bump from flights.
The couple from Salt Lake City, Utah, say they boarded the plane to find another passenger asleep in their seats.
When the two flights were identical, 79 percent of respondents who said they had heard about United in the news chose the American Airlines flight.More news: Trump to North Korean leader: 'Got to behave'
United Airlines said in an internal memo that the policy "is so the denied boarding process in an oversell situation may be implemented in a gate or lobby area and not on board the aircraft".
It sparked widespread outrage, with calls for congressional hearings and a petition urging the airline's chief executive to resign despite apologising to the passenger, his family and those on the flight. Munoz has said he has no plans to resign.
Later reports said Dr Dao suffered a concussion from the blows he received after the company forced him to de-plane to allow for United staff members to take the needed seats.
The airline is emphasizing that it will also no longer ask law enforcement to evict passengers that do not pose a security threat.
An Illinois lawmaker on Monday introduced a bill to ban the forcible removal of travelers from flights by state or local government employees after a United Airlines passenger was dragged from an aircraft last week.
Raising the limits "lets them solve some PR problems" and might head off U.S. Transportation Department regulations to curb overbooking, said another travel blogger, Gary Leff.