The Swede, 35, is now a free agent after suffering a serious knee injury while playing with the Red Devils towards the end of last season, yet the Portuguese is willing to discuss terms over a new deal.
Having signed on a one-year deal, the Swede was subsequently released in the summer as United were not prepared to continue paying a hefty salary to a player they couldn't use; however, there was always the suggestion that he would sign a short term deal once he proved his fitness, and the United manager confirmed that there have been conversations.
"Zlatan is injured and needs time to recover", Mourinho said on Friday. "He's not ready to play tomorrow".
"I just think that naturally, a manager in the second season knows the players and knows the club better".
'It was a little kid in a Manchester United shirt, so I think for the kid it is something he will never forget and for me, I repeat when I win they don't mean much, imagine when I lose'.
And Mourinho, speaking ahead of his side's Premier League opener against West Ham, noted that his side has what it takes to challenge for the title.
"I am not a hard person to work with, and I understand the reality of the market". I'm not in a position to say I'm not happy.
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City authorities will be responsible for any shortfall of a budget projected to be $5.3 billion (£4.2 billion/€5 billion). Part of the deal includes creation of a reserve fund to cover any cost overruns, with the city kicking in $270 million.
This week's remarkable interview by the latter has led links with Old Trafford to grow and Mourinho has not ruled out a move for a full-back this month.
"We have got a central defender who can play in many other positions, such as right-back and central midfield".
"We got a central midfielder, we got a striker".
"If we cannot strengthen the team in these areas we have players that we can trust".
A lot of people have told me that United will win the Premier League this season.
One of the main objectives is to win the Premier League, having stumbled home sixth in a campaign that brought Europa League, EFL Cup and Community Shield glory.
"The Premier League is what you all know", he said. "But the top seven, we are going to be in the four competitions and so there is no advantage for any one of us".