However, according to Swiss media outlet 20 Minutes, who conducted an interview earlier today with Geneva GM Chris McSorley, Wellwood will not be joining the team.
Wellwood, 29, collected six goals and nine assists for 15 points in 39 games with the Jets last season.
The native of Windsor, Ontario, has spent the last two seasons with Winnipeg, but remains an unrestricted free agent.
While Wellwood would like to stay in the NHL, it's unclear if he'll sign with a team before the start of the new season or if he'll pursue other options overseas -- it's possible Geneva could still be in the mix.
Teams in the Swiss League and the KHL have been in contact with several NHL unrestricted free agents, and if Wellwood doesn't find a job on this side of the pond, he'll likely start the 2013-14 campaign in Europe or Russia.