The Sydney Morning Heraldreports the Tigers gave Mbye permission after the 27-year-old approached the club on Wednesday, with the club since confirming its position on the matter.
Mbye is contracted until the end of 2022 on a deal understood to be worth north of $800,000 per season.
Watch The 2021 NRL Telstra Premiership Live & On-Demand with No Ad-Breaks During Play. New to Kayo? > Get your 14-day free trial now & start streaming instantly >
Round 4
Despite being one of the Tigers biggest earners, he has started the last two weeks on the bench.
Mbye confirmed to the Herald that he is open to a switch for 2022, saying it could be a win-win situation for all parties involved.
The 18th man arrives in the NRL
1:27
Lets be brutally honest, I dont think the club would be thrilled that their marquee player is being used off the bench for half an hour a week, he said.
Im not ashamed to admit that the club is not getting value for money out of me. I have a big opinion of the club and want to be part of its success. Its why I have no intention of leaving this year or leaving the club in a hole.
EARLY MAIL: Star centres big switch as injury-hit Roosters prepare for mass changes
TRANSFER WHISPERS: Cowboys flush for playmaker raid, Broncos stars $2.8m deal
TEAMS ANALYSIS: Haas gives Broncos boost, Payten wields axe to sub-par Cowboys
But I know this opportunity can benefit the club as well as myself and it may work out a win-win situation for both parties.
I get the opportunity to look around and find a club that wants me to play more minutes, and potentially even another year on top of my deal.
If it doesnt work out elsewhere then I have no hesitations committing myself to the Tigers in 2022, but I feel its an avenue worth exploring.
The club has been very supportive and understanding of my situation and whatever the outcome there will be no issue between me and the Wests Tigers.
I still feel like I have a lot to offer a club. I know things havent panned out the way I would have liked at the Tigers, but sometimes a fresh start can make a big difference and perhaps thats where I am at in life.
I dont know what the future holds but I appreciate the honest conversations Ive had with the Tigers. Im not one to play games or beat around the bush. Id rather be up front about where things are at and well see where things end up.
The Broncos bubble up in Sydney
2:22
Get all the latest NRL news, highlights and analysis delivered straight to your inbox with Fox Sports Sportmail. Sign up now!!!
The Tigers released a statement on Wednesday night.
Wests Tigers can confirm that, upon request from the player, Moses Mbye has been granted permission to discuss his playing future with other clubs from the 2022 NRL season, it read.
Mbye, who is currently under contract at Wests Tigers until the end of 2022, has not asked for a request to be released from his contract.
Moses has expressed his firm commitment to the club and its playing group for the 2021 season, with the request to discuss his playing future pertaining to his preference to secure a long-term deal elsewhere.
Moses remains an integral part of the clubs squad for the 2021 season and the club has reiterated its position that his significance remains as such following this move.
The Herald reports that the Tigers are willing to pay up to half of his salary next season.
Mbye is an incredibly versatile player having lined up at fullback, centre, hooker and in the halves throughout his nine-year career in the top grade. He has played 138 NRL games over stints with the Bulldogs and Tigers, and represented Queensland in the 2019 State of Origin series.
He was appointed captain by coach Michael Maguire in 2019, however he stood down from the role at the end of last season to focus on his personal game.
Mbye now joins South Sydney halfback, Adam Reynolds, as another star player on the hunt for a new club next season.