Mark Warburton's Glasgow Rangers side were rocked by the news that the pair had rejected new contracts
Rangers' Martyn Waghorn
Rangers hero Derek Johnstone has claimed that Martyn Waghorn and James Tavernier should only be offered improved terms once they have proved themselves in the Scottish Premiership, the Evening Times reports.
A report in the Daily Record had claimed that while the pair wanted to stay at Ibrox, they were unhappy with the offers that had been put on the table.
Johnstone has suggested that the pair's frustrations have probably arisen following the arrival of a number of marquee signings, but insisted that they do not deserve parity with the bigger names just yet.
"I would like Rangers to see how both men fare in the Premiership before they offer them more money. If they continue to do well then, fine, give them new contracts," he told the Evening Times.
"They may well have seen the likes of Joey Barton, Clint Hill and Niko Kranjcar come in on more money than they are on in the summer and requested a review of their own levels of remuneration.
Joey Barton moved to Ibrox this summer
"But, with the greatest of respect, there is a difference. Barton, Hill and Kranjcar are players who have proved themselves at the highest level. Tavernier and Waghorn still have to do that."
As Johnstone suggests, there are arguably still question marks lingering over whether the two players will be capable of replicating the form they showed in the Scottish Championship once their top flight campaign gets underway.
Waghorn was ruthless in front of goal last season, but only made a couple of appearances after recovering from a fairly lengthy spell on the sidelines, so it remains to be seen how he will cope coming up against better defenders and whether his injury has had any impact on his form.
And while Tavernier was one of the surprises of the season, contributing heaps of goals and assists from right-back, he is arguably still to prove that he can match those standards when he has to play as a much more disciplined defender.
And with Lee Hodson joining over the summer, there is no guarantee that Mark Warburton will even view Tavernier as his first-choice in that position anyway.