Lovenkrands has been a revelation in the striker's role
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Rangers manager Alex McLeish has admitted Peter Lovenkrands' recent run of good form could give him a dilemma over the Dane's future at the club.
The 25-year-old has scored six goals in four games to help Rangers revive their fortunes domestically and in Europe.
But he recently turned down a new contract offer from the club.
"If Peter keeps scoring goals he is going to give us a headache in terms of what his demands would be if he was to stay," McLeish told the club website.
Lovenkrands looked certain to leave Rangers last summer, but has been a regular starter this season, though it has been the move to a central striking role that has led to an improvement in his form.
It is understood he was offered reduced terms to stay beyond the end of the season, but turned those down.
However his agent Ivan Benes said recently that talks would continue with Rangers.