The Scotland defender has spent time away from Parkhead this season at Belgian outfit K.V. Oostende and it appears to have done him the world of good.
Hendry has made just 27 appearances for the Hoops following his £1.5million move from Dundee in January 2018.
The 25-year-old’s time at Australian outfit Melbourne City last January was cut short due to a knee ligament injury but the Scotland international has bounced with a string of man of the match performances in Belgium.
Oostende are keen to keep him but admirers from the Premier League in the form of the Blades, Brighton and Burnley have emerged, as per the Daily Mail.
One major stumbling is Oostende have an option to turn his loan into a permanent deal – as confirmed by sporting director Gauthier Ganaye.
Ganaye told GlasgowLive: “We have a loan with a purchase option.
"If we take that option and we can convince him, he will stay with us longer. Then we have to see what we can do for each other.
"In any case, Jack feels good about himself here.
"Given his excellent performances, I hope that we can convince him that KVO is the step for him to the national team and to a further beautiful football future. ”
The Celtic hierarchy are due to make a decision over Hendry’s future this summer. Indeed, it could all depend on the club’s new manager, who is yet to be appointed, and his plans for the 6ft4 Scotsman.
Chris Wilder’s side have been impacted hugely by defensive injuries this season and will likely reassess their squad ahead of 2021/22.
Here are the latest transfer headlines from Sheffield United and their Premier League rivals:
1. Rangers worried over Klopp rumours
Rangers chiefs are growing increasingly nervous about whispers coming out of Liverpool about Jurgen Klopp and what it could mean for Steven Gerrard, who is viewed as a natural successor for the German at Anfield. (Football Insider) Photo: RUSSELL CHEYNE
2. Aguero to Barcelona?
Barcelona presidential candidate Joan Laporta has earmarked Manchester City striker Sergio Aguero as a potential summer target. The 32-year-old is out of contract at the end of the season and yet to discuss an extension at the Etihad. (Daily Mail) Photo: Gareth Copley
3. Arteta also linked
Laporta will also consider appointing Arsenal's Mikel Arteta as manager, who says he is "fully focused" on the Gunners but admits talks over a new contract are yet to begin. (Various) Photo: Paolo Bruno
4. Promising NUFC takeover update
PCP Partners, the Reuben brothers and the Public Investment Fund of Saudi Arabia would still be interested in taking over Newcastle United, even if they are relegated to the Championship. (Independent) Photo: PAUL ELLIS