Caley Thistle have offered defenders Danny Devine and Lewis Horner new contracts.
Manager John Hughes this week confirmed midfielder Liam Polworth has been offered a new three-year deal as Inverness aim to add to the seven players already under contract beyond the summer.
There is a deal on the table for Danny Williams, although he and fellow midfielder James Vincent have been offered pre-contracts by Premiership rivals Dundee.
Inverness are in Premiership action against Hamilton Accies today, aiming to revive their hopes of a top-half finish having fallen three points adrift of Dundee in sixth.
Caley Jags have just five games left before next month’s split and, after five away games on the trot, Hughes hopes a period of recovery can bring out the best in them this afternoon.
Hughes said: “I’ve given the players two days off after all the travelling. I don’t know if that is right or wrong – I’ll find out when the game comes – but it is all designed to us being fresh and come right out of the traps against Hamilton.
“The games are running out before the split, so it is very important to get back to winning matches. We’re not doing too much wrong. We’re beating ourselves at times.
“If we win, we’re right back in it.”
Inverness will once again be without several players through injury against Accies, while defenders Gary Warren and Carl Tremarco are ruled out through suspension.
Hughes is becoming frustrated by the continued selection problems but has called on his side to rally.
He added: “We’re right up against it with the squad we have at our disposal, with the injuries we’ve had. If we had the injured boys back they would certainly give me a bigger problem in terms of team selection.
“As the season has continued, it has become very frustrating as it has been ongoing but it is what it is.
“We need to concentrate on what we have. Players are here because we think they’re good enough – and we trust them. It gives others a chance.”