Kilmarnock have given Colin Nish seven days to sign a new contract before they bring in a replacement.
The striker, who has seven SPL goals to his name this season, has stalled on putting pen-to-paper after initially agreeing in principle to remain at the club.
Nish had already rejected an extension to his present deal back in October after becoming disillusioned with the club's policy of selling their best players.
Hibernian were reportedly keen on the player at the time, but with John Collins now having left Easter Road, it is unclear as to whether their interest is still alive.
With his contract now due to run out in the summer Killie boss Jim Jeffries is keen to resolve the situation as quickly as possible so that he can begin to plan for next season.
"I made him an offer in writing that he seemed to be happy with," Jeffries told the Daily Record.
"It was his agent who told him not to sign. It seems like the days are gone when you're happy at a club and you accept an offer.
"You can only give a lad so long. He's got a week to take up that offer up.
"If not, I'll have to start looking for another striker and if that happens the offer will be taken off the table."
Kilmarnock face fellow strugglers Hearts on Saturday and Jeffries is facing a defensive crisis after Frazer Wright's red card against Falkirk on Wednesday.
"We've been struggling for defenders for most of the season and now we don't have a lot of options in central defence," he admitted.
"Trying to get someone in for a short-term loan isn't easy. Right at this moment there is no doubt we'd be struggling to field a defence.
"The difficulty is that you have to get somebody you know can go into the team and do us a job. They've got to be ready to go straight into the first team.
"Because of that it's got to be somebody we're aware of rather than a trialist."