Recent reports have stated the North Macedonian has asked his agent to find him a new club with an extension at Elland Road still yet to be agreed.
Alioski moved to Elland Road in the summer of 2017 from Swiss side Lugano and since then has become a big part of the dressing and a terrace favourite.
In January, the 29-year-old revealed how happy he was in West Yorkshire and seemed keen to extend his stay but as the days tick down to June, more uncertainty is created.
Former Leeds striker Noel Whelan has weighed in on the rumours, believing the left-sided player will be wearing the colours of another team next season.
“He will be on his way in summer, now,” he told Football Insider. “I kind of thought that anyway before he’s been sitting on the bench for a few games.
“We are now beginning to see signs about who might not be at the club next year. If you ask the majority of Leeds United fans, they will probably all say the same few players. Their time has come and we need better at the football club.
“That’s no disrespect to players like Alioski. They’ve done their job, they’ve played their part. But I think it’s time now.
“There’s no friendship in the game, we’ve got to look at what’s best for the football club and see what’s going to take them forward.
“You also give respect to the footballers who you allow to go and play regularly somewhere else.”
Meanwhile, reported Leeds target Orkun Kokcu has opened the door to a summer exit from Feyenoord.
In an article by Sport Witness, it is claimed Marcelo Bielsa’s men failed with a bid to sign him in January, while Leicester City also showed interest.
Kokcu says he was aware of the interest last winter but revealed he was injured, along with the fact Dutch club weren’t willing to let him go.
However, the midfielder has hinted at leaving Feyenoord, who are struggling with their finances due to the Covid-19 pandemic, at the end of the campaign.
“I still have a contract until 2025, but the situation has changed,” Kokcu said.
“Feyenoord have been very open about the financial situation, and it is clear that the club is ending up in the minus.
“If a club comes to me with a good story and Feyenoord can make money from it, I can imagine that I will listen to it.”
Elsewhere, Juventus are said to have named their price tag for Douglas Costa.
Here are the latest transfer headlines from Leeds, including more on Costa, and their Premier League rivals: