The Argentine forward was eventually able to finish the game, but he will now undergo tests to determine the severity of the injury.
"People talk about Ronaldo more because I played against him more".
"I don't know what it is".
"We will have to wait to see what medical staff say. We hope he can recover, just like the others".
Real Madrid boss Solari wants Barcelona's Messi to play in Clasico
Although Messi has been deemed fit enough to be in the squad, there is no place for winger Ousmane Dembele . Early goals from Valencia saw them into 2-0 first-half lead at against Barcelona in the last weekend.
"I imagine that he can't be too bad", said Valverde.
Barca beat Madrid 5-1 in the league earlier this season with Messi missing through injury, but he once again demonstrated his importance against Valencia.
The hosts were 2-0 down after 32 minutes after a counter-attack goal from Kevin Gameiro and Dani Parejo's spot-kick.
Messi halved the deficit seven minutes later by scoring for the ninth consecutive game in all competitions, converting from the spot after having a goal chalked off as the referee had already blown his whistle to award the penalty.
"Valencia started really well but after that we were in control of the game", Valverde said. We were dominating the ball and the feeling was that we could score goals.
Barcelona's winning streak in La Liga ended at eight matches and they lead second-placed Atletico Madrid by six points, before their closest challengers visit Real Betis on Sunday. Second-placed Mbappé has 18 league goals (36 points) to his name, while third-placed Cristiano Ronaldo of Juventus, who also netted two goals last weekend, has 17 league goals (34 points).