He later told BeInSport: "I am very happy, it is a unique opportunity to be next to the best player in the world (Lionel Messi)".
The manager of the Catalan giants described Messi as "extraordinary" following his hat-trick in a 5-0 La Liga victory over local rivals Espanyol.
Suarez was little doubt that Messi was the hero of the hour and handed his team-mate familiar plaudits.
Barca is now four points clear of Real Madrid - after Zinedine Zidane's side drew with Levante earlier.
Barca are one of only three teams in La Liga to win both their opening games, beating Real Betis and Alaves 2-0 without hitting top gear but are set to be boosted by the debut appearance of striker Dembele on Saturday. "Game-by-game he keeps showing that Messi will be around for a long time to come".
Ter Stegen produced another fine save to tip away an angled drive by Espanyol substitute Didac Vila, before Pique headed in from a corner with three minutes left.
Hurricane Irma sucks water away from shorelines
The person who posted the video later added an update to her original post that "Long Island has the all clear". The all clear for the Central and Southeastern Bahamas was issued earlier today.
Messi completed his hat-trick with another sharp finish from Alba's cut-back.
Following Messi's third strike with the points all but secured, Ernesto Valverde drafted on the 20-year-old.
However, no matter how much interest Dembele and Paulinho may provoke, Barcelona President Josep Maria Bartomeu is likely to have nearly as many camera lenses focused on him as the players.
The fixture closed out with the hosts continuing to control the game, as they had done all evening, and their dominance again shone through with five minutes to go as Pique rose above all else inside the area to convert Rakitic's fiercely-whipped corner.
'We are at the beginning of the season and the distances are not significant, but it is better to be ahead than behind.
Goals from Ganso, Wissam Ben Yedder and Nolito saw Sevilla claim a 3-0 win over Eibar at the Estadio Ramón Sánchez Pizjuan.