The Napoli centre-back is being targeted for a big-money move this summer in a bid to end the defensive woes at Old Trafford.
And he has admitted being linked with Europe's top sides is flattering – vowing to continue to prove he is an elite defender.
Koulibaly, 27, told Rai Sport: "My future? I don't know if I'm one of the strongest defenders. I always try to give my best.
"Since I'm here, I always try to grow with Napoli. I have a lot of motivation to go on and I want to keep doing this.
"I am pleased that many teams follow me, but I want to demonstrate on the field that I am at the level of the greatest and I want to show it in the future."
Napoli could charge around £90million for Koulibaly, which would smash the highest fee paid for a centre-back.
Ole Gunnar Solskjaer is being consulted about any additions despite being in a caretaker role.
While he has United playing free-flowing football going forwards, their defence remains an Achilles' heel.
And making a splash on Koulibaly could be the answer and help firm up the club's spine.
Old Trafford chiefs are hopeful David De Gea will sign a new deal, while Phil Jones has already agreed an extension.
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