Hermann Hreidarsson has been warned Pompey are not prepared to let his contract situation drag on over the summer.
Steve Cotterill wants the veteran’s future resolved as swiftly as possible – or he will look for defensive alternatives.
The Iceland international’s wage demands issued by his agent have been labelled as ‘unrealistic’ by the Blues.
As a result, they have vowed not to meet such terms.
However, Pompey do remain interested in signing up Hreidarsson for another 12 months following the 36-year-old’s impressive return from a career-threatening Achilles tendon injury.
Cotterill, though, is in no mood to wait patiently for a satisfactory outcome to be reached.
And he will pursue alternative targets as he looks to recruit before the start of pre-season training in the first week of July.
Cotterill said: ‘Forget holding a gun or ransom to anyone’s head here because it just doesn’t work.
‘At the end of the day, hopefully there will be a time when all of a sudden things open up for me so I will be able to sign the players I want to sign.
‘Now if the ones out of contract don’t want to sign because they want more money, well that’s fine.
‘But how long am I going to hang on and how long are they going to hang on?
‘Not long because if I find somebody I will sign them instead.
‘It’s as simple as that.
‘But they probably know the situation at the moment, therefore they can push the boat a little while longer.
‘What is happening at the minute, though, is unrealistic for someone who is going to be 37 this summer.’