The Swede has been great for Manchester United so far scoring 26 goals across all competitions.
Zlatan, 35, has a contract extension option for an additional year, however, United look to invest in a new striker in order to have a long-term replacement in attack.
The former Chelsea striker Romelu Lukaku is on United’s radar. The Belgium international tops the Premier League goalscorers’ table with 21 goals.
United also set their sights on Antoin Griezmann, who has had an outstanding display in EURO 2016. In case Diego Simeone manages to keep the Frenchman at Atletico Madrid, Mourinho would like to see the Lukaku at Old Trafford.