Businesswoman Ms Lawson was travelling to the Portuguese capital on Monday for a technology conference with other delegates from Manchester.
She confirmed the unwell man was “absolutely fine”, managing to stand up and walk back through the plane, and she commended the midfielder for his composure during the incident.
“I think it was just, ‘oh my goodness, what are the chances of somebody being poorly right when the Man United captain is standing right in front of you?’,” she said.
“What an absolutely lovely man. He did it and didn’t make a big deal out of it. The stewards just called for help and help came.”
Shortly after landing, Ms Lawson took a selfie with Fernandes and Manchester United team-mate Diogo Dalot, who was also on the plane.
“I basically said to Bruno, ‘what you did back there was really lovely, it was great that you were there to be able to help’,” she said.
“It’s just nice to be reminded that [celebrities] are just normal people out there.”
She said she was “quite excited” when she spotted Fernandes boarding the plane, despite being a Manchester City supporter.
“The ridiculous thing is is we’re a blue family – we support Manchester City,” she said.