AFL.com.au understands there is strong interest from a number of clubs, mainly Victorian-based, for his services.
Melbourne was keen on the 22-year-old during last year's AFL Trade Period.
Lyons has managed just 18 games in his four seasons since arriving at West Lakes in 2010, including six this year that have come mostly with a catch.
He's played as substitute four times this season and has been selected as senior emergency on another three occasions, meaning that while he's trying to prove his worth, his lack of game time is making the going tough.
Like any professional athlete, he wants to consistently compete and test himself at the highest level.
"I'm getting to that stage in my career where I'd probably like to be playing regular footy just to prove that I can," Lyons told AFL.com.au.
"I've had snippets here and there for Adelaide, but it's hard getting that consistency of playing.
"I'm pretty settled in here so it'd be hard to leave, but at the moment I'm just trying to get back in the side and the opportunity hasn't gone my way this year.
"There's still four games to go though, so I'm still backing myself and trying to get back in and see where I go from there.
"If Adelaide don't want to sign me then I'd have to look somewhere else."
Coaches have told Lyons to work on his outside game, improve his spread and regain some of the speed he lost through ankle surgery late last year.
He has also tried to increase his intensity at training to make up for limited game-time in recent weeks.
Training well is a far cry from playing well on the big stage, but Lyons said Brenton Sanderson and midfield coach Scott Camporeale had noticed his efforts on the track.
"As the sub I don't get as much match fitness, so I try and get in a bit extra at the end of training," he said.
"Training wise is where I've been trying to improve, because obviously I haven't been playing games so you've got to impress on the training track.
"I've had some good feedback from Sando and Campo in terms of how well I've been training."
There's not much more Lyons could do to push his case when given the chance to play full games.
In his nine SANFL outings this season he's averaged almost 28 disposals, eight clearances and five inside 50s and has booted 11 goals.
Seven times he's been named in the Crows' top five and in four of those he was regarded the club's best performer.
Last weekend he amassed 38 possessions and kicked 2.5 - a few missed shots away from putting together one of the most dominant performances in SANFL history.
"None of the misses were certainty goals, but still, 38 and seven [goals] would have looked all right," he laughed.
"The ball seemed to find me on the weekend rather than me find the ball, which is always nice."
Twitter: @AFL_Harry