The 21-year-old has 24 goals and seven assists this season.
Adi Hutter's side are likely to activate their purchase option at the end of Jovic's two-year loan deal from Benfica before then assessing offers from prestigious clubs across the continent.
But Barcelona are said to be preparing a €50m bid for Jovic as they seek a long-term successor to Luis Suarez, offering Eintracht the chance to make a significant profit.
But with some of Europe's biggest clubs queueing up, his father Milan Jovic insists that the Serbia international's preference is to extend his stay with the German club.
"He's not sure he would get any minutes at Barca".
"He was here a few days ago and said, 'Dad, I'm not anxious about money".
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Priyanka Chopra Explains Why Nick Jonas ‘Surprised Me So Much’
So if you could've cancelled it, you would've done it. "He gave me credit for what I'd done, it was just mind blowing for me". That's my name for him, OMJ. "He is such an old soul, extremely smart, so good for me because he grounds me so much.
"He doesn't know if he can play football there".
Eintracht are fourth in the Bundesliga with a four-point cushion to Borussia Monchengladbach in the race for Champions League football. "Luka wants to play in Champions League and continue his progress at Eintracht".
Are you surprised by Jovic's father's claim?
"Luka does not want to be against harmony", Jovic senior added. According to Marca, Real Madrid are among the clubs interested in a move for the Serbian and sent scouts to watch their man in action on Thursday.
But the shimmering homegrown talent netted twice more either side of a Ruben Dias header to become the youngest player to hit a Europa League treble, although Goncalo Paciencia did later give the visitors a handy second away goal to take back to Frankfurt.