Teams have called and asked about Schneider's availability, a team source confirmed.
Darren Dreger of TSN first reported that teams had shown interest in Schneider.
The Canucks' preference is to trade Luongo -- the team is also considering the possibility of buying him out -- but if they receive an outstanding offer for Schneider, they'll seriously consider it.
Schneider, 27, posted a 17-9-4 record in 30 regular season games with the Canucks this past season.
According to Dreger, the Canucks want a first-round pick and a top prospect in exchange for Schneider.