The 31-year-old's future at Old Trafford continues to be thrown up in the air having fallen into a substitutes' role in recent times.
According to The Sun, Mourinho has informed Rooney's representatives that the England captain may have to look elsewhere if he wants to be a regular.
It is understood that the United boss is not seeking to sell Rooney but rather has made it clear that there is no longer a starting spot for the skipper.
Additional reports from other outlets indicate that the former Everton man is set to be the subject of a massive £500,000-a-week deal from Chinese Super League club Shanghai SIPG who are coached by former Three Lions manager Sven-Goran Eriksson.
However, Rooney could yet remain with United and continue on in his bit-part role as he still has more than two-and-a-half years on his current contract.