The Spanish giants - once renowned for never having had a sponsor on their shirts - have been locked in negotiations with the airline for months to renew a three-year, €96m deal that expired this year.
"Qatar Airways has helped us to make Barca bigger in recent years... We hope to continue along the same lines of mutual growth," said Barcelona's vice president Manel Arroyo in a statement.
The club are in negotiations to replace the airline from the end of next season with US e-commerce giant Amazon, in a three-year deal that Barcelona-based newspaper Diario Sport said would be worth up to €45mn ($49.75 million) a year.
Five-times Champions League winners and 24-times La Liga champions Barcelona took their first steps towards ending the sponsorship-free tradition in 2006 by bearing the logo of Unicef on the shirts while donating €1.5mn ($1.65mn) per year to the charity.
In December 2010, they agreed a five-year deal with the Qatar Foundation worth €30mn ($33mn) per year, at that time the most lucrative shirt sponsorship in football.
Barcelona is one of four clubs in Spain owned by its members.
Former club president Joan Laporta pledged to end the sponsorship deal if re-elected to the post. But he was soundly beaten in the club's 2015 election, winning 33% against 54% for incumbent Josep Maria Bartomeu.