"I wouldn't mind (staying long-term) at all," Hemsky told the Journal. "I don't like change, looking for new stuff. I've met lots of great people in Edmonton. I've got friends. I've got a girlfriend living with me. I can't complain."
Hemsky, who will make $5 million this coming season, has a cap hit of $4.1 million. His next contract will likely hit an annual salary worth at least $5 million.
The Columbus Blue Jackets and Los Angeles Kings are two teams that showed interest in Hemsky during the 2010-11 campaign, but it's uncertain if they're still intrigued by the flashy right winger.
Columbus' addition of Jeff Carter might take them out of the mix, for the time being, while the Kings are always looking to strengthen their roster.
Last season, the Kings acquired left wing Dustin Penner from the Oilers.
The Journal indicates no "real" negotiations are ongoing between the Oilers and Hemsky, though contract talks could begin closer to the season.