Colvin has been hospitalized since he was struck in the chest Sunday by a broken bat. He was not able to fly, and his grandfather, Jerry Colvin, drove the outfielder home.
"I'd love to see him again before the season is over," Quade said Wednesday.
Cubs athletic trainer Mark O'Neal has been in touch with Colvin, as have several of his teammates. Catcher Welington Castillo called Colvin on Monday to apologize. It was Castillo's broken maple bat that hit Colvin.
"I feel really bad," Castillo said Tuesday. "I hope he's doing good and gets out of there real soon. I talked to him and he sounds real good. I said, 'I'm sorry.'"
Castillo said he has always used maple bats because the wood is harder and more durable but has never had one break and hit a player.
"You can't worry about it," he said. "You just have to keep playing."