Russell, an unrestricted free agent, is set to be delisted by the Blues, but is reported to have up to four clubs chasing his services.
The 25-year-old is reportedly out of favour with the Power's new director of coaching and strategy Alan Richardson, who was previously an assistant coach at Carlton.
Despite meeting with Power officals and being put through a medial last week, the club's football manager Peter Rohde said Russell, who finished runner-up in Carlton's best and fairest in 2010, wasn't on the club's radar.
He said Port certainly wouldn't offer Russell a spot at Alberton before it assessed its list at the conclusion of the AFL Gillette Trade Period.
"I think we've said all the way along that we'll consider at the end of trade week - he's going to be delisted by Carlton - so we're not going to be trading or doing anything active for him," Rohde said.
"We'll consider our position at the end of the trade period."
