The forward has earned eight yellow cards in all competitions this season and another in Thursday's cup semi-final second leg against Valencia would see him suspended for the final in April.
But Valverde says the way the former Liverpool star plays on the edge is a crucial part of the attacking set-up of his side.
"I've spoken with Luis Suarez about his character on the odd occasion," Valverde told a news conference. "The aggression he has in attack, with how he looks for space and goals, is good for us, even if sometimes it can lead to a booking or something.
"But now we've got a semi-final to play. Suarez is experienced and he knows how to look after himself. We're going to give everything to win. We will worry about the future later."
Suarez himself has admitted that the tie is far from over, following a 1-0 win for Barca at Camp Nou.
"It's a minimal advantage that we have because there are 90 minutes left," Suarez told reporters after the first leg.
"Valencia at home are always stronger and even more so in a Copa semi-final."
The loss of the Uruguayan would be a massive blow for Barcelona as well.
Since the turn of the year, Suarez has scored nine times in all competitions and leads the Catalans in goals in 2018 .