In an interview with SPORT published this week, Messi, who is set to miss the game against Valencia on Sunday (AEST) as he recovers from an injury which has kept him out of the opening three LaLiga fixtures, stated he does not intend to leave the club, although his commitment came on the condition of continued success.
Messi signed a four-year contract in 2017, but the agreement includes a clause which gives him the option of leaving on a free transfer at the end of each campaign.
However, Valverde is adamant Messi's words have been misinterpreted, although Barca's head coach acknowledged he is unable to control what players say in the press.
"I didn't want to read it. I know what Leo has to say," Valverde said when asked if Messi's comments suggested a rift between Barca's star player and the club's board.
"He expresses himself naturally and then people tend to misinterpret what he has said.
"Everything he says, people try to squeeze out every sub-meaning from his words. I think he was just trying to express things naturally, I don't think we need to worry.
"I don't think there are any doubts regarding his future. It's the club that decides which players it's going to keep or not, but I don't think there are any concerns, certainly I don't have any concerns about it."
Messi had been expected to recover from his calf injury in time to feature against Valencia. However, Valverde conceded the injury is worse than first expected, with Messi also unlikely to play against Borussia Dortmund in the UEFA Champions League on Wednesday (AEST).
"The scar opened a little bit, so it’s told us that we need to exercise a little bit of caution," Valverde said. "I don't think it’s long that he’ll be back again. But Tuesday, I don't know, probably later.
"Of course he's a very important player for us, I can't deny that, but there has been other times when he hasn't played and we've got through games very well.
"He's the best player in the world so we want him back as soon as possible, but we want him to come back at full fitness, not for him to come back and then take things a step even further back.
"Missing Messi is always going to be noted, but it also means possibilities for other players to up their game. We saw that against Real Betis, certainly.
"Knowing how difficult it is to replace Messi, we need the guarantee that the team is still able to compete in his absence."