Valdes has announced his intention to end his 11-year Camp Nou spell at the end of the season, and the club has been linked with several high-profile replacements.
"This is the first time that I have been asked [about Masip] and I would really like it," he told reporters.
"I remember the day that [Louis] Van Gaal asked me to step up and play for the first team. It would be great if it turned out that someone home-grown was given the chance, but I know how hard that can be."
Masip, 24, has made 55 appearances for Barcelona B, but has yet to represent the Catalan giants.