The 26-year-old has endured injury hell over the past three years, not playing a competitive game since suffering a serious knee injury during a loan spell with Middlesbrough in October 2018.
The Daily Echo says Saints are happy to allow McQueen to continue to use the club's facilities to aid in his recovery before they decide on next steps for the Southampton-born ace, who has been with the St Mary's side for close to two decades.
Discussing McQueen's lengthy recovery, Hasenhuttl said: "His knee is good. He had some other problems, it's a very long story to be honest.
"I've never had a situation where I was coming to a club and never see a player playing for two-and-a-half years now.
"Since I'm here I've never seen him on the pitch. But when you know the infection in his knee and how things were going on then it's even now like a wonder that he's still able to play football or will be maybe one time able to play football again.
"And finally, we don't know if he will ever return back to the pitch but if (he does) then it's a miracle."
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