Coventry have offered new deals to key trio Marlon King, Keiren Westwood and Aron Gunnarsson in a bid to keep them at the Ricoh Arena.
The news comes after Andy Thorn was appointed as the club's new permanent manager on Thursday afternoon following a successful stint as caretaker boss.
Leading goalscorer King, highly-rated Republic of Ireland goalkeeper Westwood and Iceland international midfielder Gunnarsson are not short of suitors and could leave the Championship club in the summer.
But the Sky Blues are keen to tie down their futures and, in the case of Westwood and Gunnarsson who signed three-year contracts in 2008, the latest offers come after previous unsuccessful attempts to keep hold of their services.
King signed at Coventry in late September until the end of the season having been snapped up by previous boss Aidy Boothroyd and has amassed an impressive 13 goals in 27 appearances.
Thorn said: "They are happy with the way we are playing and we love them to bits and we want them to stay.
"But we live in the world of football and if people think that's not enough then so be it and they will go with our blessing and we will get our heads down and bring other people in.
"But we want them to be a part of what we are doing at the football club."