The 25-year-old had sympathy for his Hungarian team-mate, who picked up his injury while on international duty.
"It is worse because they told him he will be fine, but in June he will be going under the knife so he will not be back for 10-12 weeks so it is a massive blow for us."
Rangers, who are owned by billionaire Lakshmi Mittal, are tipped to mount a serious challenge for promotion next season after appointing Iain Dowie as boss.
Vine said: "That's testament to the players, significant changes at the club and if you are not hungry for success then you should not be there."
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