Barca are unbeaten and top of the table in La Liga, nine points clear of second-placed Atletico Madrid after 31 rounds.
Valencia are among the sides to have troubled Barca this season, having coming within eight minutes of beating them in December before the sides drew 1-1.
Suarez converting a through ball from Philippe Coutinho which split the Valencian defence.
Highlights of the La Liga game between Barcelona and Valencia.
Heavy rain and Wednesday's defeat in Italy limited the attendance to 69,544, 16,000 less than Camp Nou's last daytime home game a month ago, but despite the flat atmosphere, the fans' efforts to attend were rewarded by an entertaining game.
Aussie boxer wins bronze, even after losing fight
Although her journey is over, Robertson still walks away with a bronze medal on her debut at the Games. Walsh was devastated after the fight and can consider herself unlucky not to have prevailed.
FC Barcelona superstar Lionel Messi has climbed to third position in an illustrious group of just eight players who have scored more than 500 goals for a single team, but remains nearly 100 strikes shy of Pele's record tally. At the start of the season we thought [winning the league] was impossible. Valencia, meanwhile were flying high in fourth, with five straight wins in the bag, although they had only beaten the Catalans twice since 2008. The aggregate score was 4-4, but Eusebio Di Francesco's side progressed due to the away goals rule. Winning the UCL is really hard, only one team can win it, so it's very hard.
Asked about Luis Suarez who scored Barcelona's first goal, Valverde said: 'I love Suarez.
Does that win secure the title?
We tried to continue the great league showing after what happened the other day. "We wanted to reach the final".
The Barca coach praised his players for putting the Roma defeat behind them but said their European exit had punctured their enthusiasm for the unbeaten record. "Now it feels like winning the league is nothing".