The 35-year-old has said he wants to stay despite having "lots of offers" from other clubs, but is not expected to be retained by United.
His one-year contract expires on June 30 with United set to omit Ibrahimovic when the Premier League announce United's list of retained players for the 2017/18 season that is published at 9am (BST) on Friday morning.
Ibrahimovic was understood to be in United's plans for 2017-18 until his season-ending injury.
Manchester United appeared keen to keep the player despite his reported reluctance to keep claiming his massive salary when out injured.
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Ibrahimovic scored 28 objectives, including a victor in the EFL Cup last against Southampton, before suffering a knee injury throughout United's Europa League quarter-final versus Anderlecht.
The big Swede scored 28 goals across all competitions since his free transfer from Paris St-Germain last summer, however, he was ruled out after picking up a serious knee injury earlier in the season.
Real Madrid's Alvaro Morata is just one of the names mentioned to relpace Ibrahimovic in the summer, after United cooled their interest in Atletico Madrid's Antione Griezmann.
Mourinho has made no secret of his admiration for Javier Hernandez in recent months, saying he would not have sold the striker to Bayer Leverkusen before underlining how a player like him was missing at United.