Stevens announced his desire for a move back to his home state of Victoria at the start of the Gillette AFL Trade Period, and his manager Ned Guy has confirmed the Western Bulldogs, Essendon and St Kilda are all interested.
Guy said he was confident a deal would be done once the 21-year-old makes his choice.
"Koby is right on the cusp of making a decision about where he wants to go," Guy told AFL.com.au's Trade Radio on Wednesday.
"We've been working through a pretty thorough process, and I'm tipping he'll make a call in the next 24 hours.
"And then I'm pretty confident we'll get the deal done, hopefully by the end of this week, if not early next week."
Guy denied clubs were baulking at the Eagles' asking price, saying discussions had not progressed to specifics yet.
"They (West Coast) rate Koby pretty highly and they don't want to just give him up, but I'm pretty confident all three clubs would be able to get the deal done if they needed to," he said.
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Another of Guy's clients, former Melbourne forward Liam Jurrah, has been linked to Port Adelaide, with the Power floating the possibility of placing him on its rookie list next season.
But Guy played down the likelihood of that happening, saying he had "absolutely no idea" if or where Jurrah would be playing football in 2013.
"It's sort of a beat-up, that one," he said.
"Liam has made some passing comments along the way that he still loves playing the game, but whether or not that's at AFL level remains to be seen.
"I spoke to Port Adelaide throughout this year about Liam, well before he decided to finish up in Melbourne, but there's nothing there.
"It's clutching at straws a little bit."
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But Guy did say Jurrah, who quit the Demons to move closer to his family in Adelaide after a tumultuous year off the field, was staying in shape in case an opportunity arose.
"He's been getting out for quite a few runs; he's certainly staying fit," Guy said.
"Once he got back and started spending some time with his family, the motivation levels certainly picked up again, that's for sure."
Jurrah will face trial in March over an alleged assault at the Little Sisters Town Camp near Alice Springs earlier this year.
