For his part, Uruguay international Ugarte is desperate to see the move happen, having sat out last weekend's Ligue 1 opener.
Sky Sports says United are exploring all options to reach terms with PSG.
However, United need to sell first to find the cash needed to meet PSG's asking price - which remains set at €50m.
United are also exploring the prospect of a loan with an obligatory purchase option to get Ugarte through the doors before the summer deadline falls.