Demetrio said the 69-year-old Kentucky physician and father of five lost two teeth and suffered a concussion and broken nose during the incident. A spokesperson for the airline confirms that United has updated its policy "to make sure crews traveling on our aircraft are booked at least 60 minutes prior to departure".
The increases came after United came under fire after it called security officers to forcibly remove passenger David Dao from an overbooked flight in order to seat crew members for another flight.
Attorney Thomas Demetrio said Dr Dao would "probably" sue.
United Airlines has updated its policies after the airline was harshly criticized following an incident where a passenger was dragged off a flight earlier this week.
United crews previously could be booked on flights until the time of departure. While people overwhelmingly chose American over United when conditions were the same, small adjustments in the flights gave United much better odds. The situation could have been avoided if the airline, which offered $800 travel vouchers and a hotel stay for passengers to rebook on another flight, had simply upped their offer, Demetrio said.
United Chief Executive Oscar Munoz on Monday again apologized for the incident. However, instead of prohibiting overbooking, Trump proposed that the ceiling on what incentives airlines can give passengers in return for their seats when flights are overbooked should be done away with.
United evicted Dao and three other passengers from the flight to make room for employees.
The company also repeated its apologies, saying Munoz had reached out to Dao "on numerous occasions". If there aren't enough volunteers, airlines can pick passengers - on United, those who paid more for a ticket or fly frequently are less likely to be selected.
United's board said on Friday the company had to craft policies to win back customer trust and apologized to Dao and his family.
For Dao, who came to the US after fleeing Vietnam by boat in 1975 when Saigon fell, being dragged off the plane "was more horrifying and harrowing than what he experienced in leaving Vietnam", Demetrio said.