The Daily Express says United and City are now in advanced talks over a deal for the 21 year-old.
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Vitek spent last season on-loan in Austria with BW Linz.
And now he is set for a similar arrangement with Bristol City in the Championship.
A deal is expected to be soon announced, with Vitek left at home by United as Ruben Amorim took his squad to the USA for their preseason tour.
