Jagielka is leaving Everton when his contract expires this summer after 12 years at Goodison Park.
The Daily Mail reports that the Blades and Stoke City have already shown interest. Now the Hoops have joined the chase – although Jagielka is not a priority target for them.
The prospect of signing the 36-year-old has been put to manager Neil Lennon. Yet the Scottish champions will only make a move if other deals fall through.
This may well be treated positively at Bramall Lane. The Sun claims that Chris Wilder is keen to add some Premier League experience to his squad following promotion and is considering Jagielka.
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If the defender were to come back to South Yorkshire it would neatly tie up what has been a fantastic career.
A product of the Blades academy, Jagielka broke into the first team back in 2000. Over the next seven years he played 247 times for his boyhood club, helping them get promoted to the top flight in 2006.
They lasted one year in the Premier League, but Jagielka stayed when the Toffees signed him. The veteran has since gone onto make 385 appearances for them, becoming captain in the process. He also earned 40 caps for England during that time.
It therefore seems somewhat fitting that he could return to Bramall Lane as the Blades make their comeback to English football’s top tier.
While Jagielka has been enjoying success, they have since been relegated to League One. They spent six years there before Wilder was appointed as boss in 2016.
Two promotions later and now the Premier League beckons once again. Will Jagielka rejoin them for this latest adventure; just as he did last time?