A number of NHLers have signed overseas during the lockout, but Henrk and his brother Daniel have indicated that they will not jump over to Europe unless the season is completely wiped out.
Henrik hopes the two sides can benefit from having a third-party examine the negotiation process.
"It's hard to say what it can mean, when (mediation is not legally binding)," Henrik told Swedish newspaper Expressen. "But it can never be negative, and it would be wonderful if this decision can lead to a quicker resolution."
Henrik and Daniel, along with Canucks defenseman Alexander Edler and several other members of the team, remain in Vancouver.
To date, not one single member of the Canucks have signed with a club overseas during the lockout.
If the lockout cancels the entire NHL regular-season, both Sedin brothers will join MoDo of the Swedish Elite League.