And the ex-top flight match official believes the disciplinary authorities could throw the book at the ex-Ranger and hit him with a lengthy ban if they take retrospective action.
The Burnley midfielder was involved in a few flashpoints moments as the Premier League outfit were dumped out of the FA Cup by non-league Lincoln City at Turf Moor at the weekend.
Bad boy Barton was booked after a second-half clash with Terry Hawkridge as the players came together following a challenge for the ball.
Once the furore had died down, the 34-year-old was yellow-carded by referee Graham Scott.
However, Webb, who watched a replay of the incident as a BT Sport analyst, spotted the controversial ace “putting his nails in the face” of the Lincoln player.
He said: “Joey just lost his discipline. There was a bit of a fracas and he put his hand out to Hawkridge.
“At first, it looked as though he had just brushed his hand across his face.
“But, when you see it again, he puts his nails into Hawkridge’s face.
“It’s really quite nasty and it should have been a red card.
“If Joey had gone on to score the winning goal, then it would have been a huge talking point.
“But maybe the FA will look at it again, anyway.
“It was difficult to spot. However, if the referee doesn’t mention any of that in his report, or says he has booked him for something else, then they might look at it again.
“And then he might end up getting suspended.”