The 28-year-old was previously of interest to the Hoops in 2019 when Sheffield United were promoted to the Premier League.
Elsewhere, Sander Berge continues to be linked with a move away from the club, with another Premier League giant reportedly quoted a bargain price.
United begin their pre-season training today with the players meeting up a few days before new boss Slavisa Jokanovic officially takes charge on Thursday.
He is expected to be speaking to those linked with moves away as a matter of priority when he arrives in Sheffield.
Here are the latest transfer rumours from Bramall Lane and around the Championship.
5. Lennon for Fulham?
Former Celtic manager Neil Lennon is among the favourites to take over at Fulham, with Scott Parker expected to join Bournemouth this week
Photo: Ian MacNicol
6. Berge to Liverpool?
Italian newspaper La Gazzetta dello Sport claims Sheffield United want just £10 million from Liverpool to secure the services of Sander Berge. Napoli and Lazio are also said to be interested in the Norway international
Photo: RUI VIEIRA
7. Baldock on the move?
As reported in The Star this morning, George Baldock is a transfer target for Celtic. Celtic are desperate to get players through the door quickly as they have a Champions League qualifier in mid-July
Photo: TIM GOODE
8. Baggies want Bryan
West Brom's new boss Valerien Ismael is interested in taking Sheffield United defender Kean Bryan to the West Midlands. Bryan has been offered a new deal at United but has yet to sign it as he awaits a meeting with Slavisa Jokanovic. (Express and Star)
Photo: Andrew Yates