According to clauses in their respective contracts, Miller is permitted to name five teams and Hansen eight.
Miller, 36, will be an unrestricted free agent on July 1. Hansen, 30, is under contract for next season with a $2.5 million salary-cap charge.
Right wing Alexandre Burrows, 35, will be an unrestricted free agent on July 1. He said on "Hockey Night in Canada" on Saturday that he has not waived his no-trade clause and would not disclose if he'd been asked to do so. Burrows confirmed that he had spoken to Benning about deadline possibilities.
"I had a good talk with Jim," Burrows said.
The veteran, who has played all of his 822 NHL regular-season games with the Canucks, said he expected to speak with Benning again before the deadline.
"I want to win and I would like a chance to play in the playoffs," Burrows said. He also said it would be difficult to be away from his family if he was traded.
"We're going to analyze it and weigh the pros and cons with the family," Burrows said.
Burrows said before the game Saturday that he sees Benning's perspective as the deadline approaches.
"I totally understand where he comes from," Burrows said. "You've got to do your due diligence. It's a difficult position to be in but if you want to be a good GM, you've got to have those conversations.
"At the end of the day, he's not the one that has the final call. At the end of the day, he's got to do what I want or where I want to go. So it's tough for him… he's got like handcuffs a little bit on him. At the same time, you've got to do your due diligence and do what's best for the hockey club."