Fussball Transfers says Paris Saint-Germain have contacted Inter about a possible loan deal.
However, the report states United still hold the advantage having held talks about a move for several weeks.
United may well be holding off from making an official move in case they're able to focus on another target.
Perisic opened up last year on exactly how close he was to moving to United
“In fact, I really, really wanted to join him [Mourinho] and play for United," he said.
“It was a dream of mine to play in all the big leagues. But it didn't happen."
But now Perisic may have another chance to sign for United before the transfer window closes.