It has led many to say youngster, Lautaro, is a chip off the old block.
The Catalan side were celebrating winning their second successive LaLiga title with the players joined by family members on the Camp Nou pitch.
Lionel Messi came off the bench to score the only goal as Barcelona beat Levante 1-0 on Saturday, and moved to an uncatchable 83 points from 35 games.
Cameras honed in on the players but one harmless snap of Suarez caught the eye.
The six-month-old baby appeared to chew Suarez’s shoulder while in his dad’s arms.
One Twitter user wrote: “He may only be six months old but he is already following in his father’s footsteps.”
Another said: “Like father like son.”
It brought memories flooding back of Suarez’s infamous bite at Italian defender Giorgio Chiellini at the 2014 World Cup.
Playing in attack for Uruguay, during the group stage clash, he was caught on camera sinking his teeth into the Juventus centre-half’s shoulder.
The bite went unseen by the referee but he was later given a four-month ban.
He missed the rest of the World Cup and having shortly afterwards completed his move from Liverpool to Barca under a cloud.
Suarez was also given a 10-game ban after biting Chelsea defender Branislav Ivanovic’s arm during a clash with Liverpool a year earlier.
As an Ajax player, he bit PSV Eindhoven’s Otman Bakkal and was given a seven-game suspension in 2010.
Having won LaLiga, Suarez and his Barcelona teammates have turned their attention now to their Champions League tie with Liverpool, with the first leg on Wednesday.