The 31-year old Dutch striker is believed to be seriously considering leaving Old Trafford in search of regular game time after spending parts of last season on the bench under Louis van Gaal and will discuss his forthcoming role with club officials.
Van Persie has already spoken of his desire to play consistently in the lead-up to next summer's Euro2016 tournament in France and has emerged as a strong target for Turkish club Fenerbahce.
Dutch football expert Marcel van der Kraan told talkSPORT that he expects former Arsenal captain van Persie to leave United if he is not promised regular starting time.
"I spoke to Robin a few weeks ago and he said he would sit down with Louis van Gaal and do some homework over the summer," he said.
"I asked what that meant and he just wants to know the plan at Man United.
"I think he was mostly hinting that he doesn't want to regularly sit on the bench. He has a massive desire to play, not just for Euro 2016, but he wants to play on and on at the highest level.
"He doesn't think that sitting on the bench in a squad, which also has Angel Di Maria on the sidelines, will improve his game or help him stay in top fitness.
"That was why he said he wanted to go to Fulham and Leicester with the reserves last season."