The 43-year-old coach is under fire after Sporting's poor start to 2012, but the club's president has given his backing to the ex-Braga trainer.
The Estadio do Alvalade outfit had to endure whistles from around 50 fans at Lisbon's airport on Saturday evening after the club suffered a surprise 2-0 defeat at Maritimo.
The result puts Sporting eight points behind third-place Braga in the race for a Champions League place, but Godinho Lopes has given Domingos a vote of confidence.
"I cannot smile, nor be happy with the results," he told reporters. "I am Sporting's president, but I am also a supporter and I cannot be happy with the results.
"The work of technical staff is different from the results, we need to consolidate the project and create conditions for it to succeed.
"I speak with Domingos every day and our concern is to create conditions for the team to achieve good results."
Sporting, which is now caught by Maritimo in fourth place after Saturday's result, will take on Legia Warsaw on Thursday in the Europa League Round of 32.