The former Newcastle forward has resurrected his career in the Ligue 1.
Brazilian forward has set his mind on staying at Camp Nou next season, according to reports.
Luis Suarez was a target for Arsenal in the 2013 summer transfer window but they failed to convince Liverpool to sell.
Barcelona remain atop of La Liga with just four games left of the current campaign.
Barcelona would be ready to pay around €20m (£15.9m, $22.5m) plus the rights of Alen Halilovic.
Atletico Madrid host Barcelona on Wednesday night following a 2-1 defeat at the Nou Camp.
Barcelona visit Atletico on 13 April following a 2-1 victory in the Champions League quarter-final first leg.
Pique makes Barcelona's final squad after returning to training on Tuesday morning.
Real Sociedad have secured a positive result against Barcelona in their last six games at home.
Barcelona visit the Anoeta Stadium four days before their Champions League game with Atletico Madrid.
Barcelona beat Atletico Madrid 2-1 at the Nou Camp after Fernando Torres was sent off.
Sandro Ramirez, Adriano, Aleix Vidal and Jeremy Mathieu remain on the side-sidelines.
Barcelona host Real Madrid on Saturday 2 April just three days before their Champions League game with Atletico Madrid.
The Barcelona duo avoid a yellow card during the 2-2 draw at Villarreal on weekend.
The 44-year-old pundit has launched another scathing attack on the Gunners squad.
The 19-year-old winger admitted he never thought he would get that far.
The 25-year-old centre-forward admits the Gunners must go on a winning run in the league.
The Gunners boss believes his side could have created a "sensation" had they taken a 2-1 lead at the Nou Camp.
The 37-year-old pundit thinks an inability to attract the best players is harming English teams.
Arsenal have never managed to progress into the next round at the expense of Barcelona.
The 24-year-old Brazilian joined the Premier League club in the summer.
Barcelona visit Vallecas on Thursday night following their weekend victory over Sevilla.