League said he didn't foresee getting dealt from Toronto to the Mariners prior to last season either, however.
"I didn't even know I was getting traded when I did [get traded] that offseason," he said. "But I like it here."
He hasn't told Mariners management that he wants to stay, but doesn't feel that's necessary.
"I think I've made it clear with my actions that I'm happy here," said the 28-year-old. "I've gotten a great opportunity here, and have been treated well. I don't think I need to say anything. I think I'm a pretty likeable guy."
League, who is third in the American League with 23 saves, said there hasn't been any distraction with trade rumors in the clubhouse.
"I think it's a different situation," he said. "Last year we had Cliff Lee, and he was a free agent after the year, so it was almost like a known fact that he'd be gone at the Deadline. This is different. No. 1, I'm not Cliff Lee. And No. 2, we have a lot of guys in this club that aren't touchable. You'd have to ask the upper brass, but we'll just see what happens. I think I've made it clear that I like it here."