The latter has been one of the finest pieces of business in Barca's modern history, with his £75m fee looking like a real bargain; the Uruguayan is their seventh highest scorer in history.
A Barca spokesman declined to comment directly on the report but added: "In the interests of confidentiality the club never comment on contracts signed with players and never will".
The 25-year-old could make his debut for the Catalan side on Thursday in the Copa del Ray last-16 second leg match against Celta Vigo at the Nou Camp.
Ousmane Dembele pointed out that the hard work remains ahead for him after he returned from lengthy injury layoff for Barcelona.
The Argentine's flighted pass found Alba, and the left-back headed the ball down for Messi, arriving in the area, to finish first-time in off the far post for his 16th league goal of the campaign.
Suarez struck his fifth goal in four games running by controlling a cross from Sergi Roberto and slamming the ball high into the net in the 38th minute.
Messi set up Paulinho to round off the win in stoppage time.
Messi's insistence on a get-out clause in case Catalan secession means he can't compete in major-league sport is the latest symbolic twist to emerge from the region's independence push.
Valencia are 11 points behind Barcelona in third after coming from behind to beat Girona 2-1 at Mestalla on Saturday.
Philippe Coutinho says he is excited at the prospect of playing alongside his "idols" as his protracted big-money move to Barcelona nears completion.
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