Reports in Kicker suggests that United have been scouting the highly-rated centre-back in recent weeks.
The Turkey international has a contract with Bayer Leverkusen until the summer of 2018.
Toprak is also reportedly being watched by Bundesliga champions Bayern Munich.
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Being an amiable guy is good for you and Jurgen Klopp is living proof.
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.