In addition, Mourinho reported that goalkeeper David De Gea is available to face Chelsea at the Old Trafford stadium here, while defenders Chris Smalling and Phil Jones will not return "until mid-May".
Missing out on European football's premier competition for a second successive season would be a huge blow, although Europa League glory would assure them of a place back at the continent's top table.
United have won the EFL Cup in a season that started with Community Shield success but there remains a chance they could fall short in their quest for Champions League qualification.
Ahead of this weekend's league fixture, Conte stressed: "I have zero problems [with him]".
In their FA Cup quarter-final clash, Conte accused United of targeting Eden Hazard.
Just like we've seen at United, Mourinho has not only been able to get the best out of players already at the club, he has also been able to sign the top players around the world, even without Champions League football to offer.More news: Connor McDavid reaches 100-points, Oilers beat Canucks
Joe Cole has told ESPN FC that Jose Mourinho's "tough love" style of management is a key factor in his success at the highest level and will deliver trophies to Manchester United.
"I played against him when he was at Juventus, so he remembers me".
Mourinho was sacked by Chelsea after winning the Premier League title in 2014, with the club's form and league position drastically falling in the following campaign. I would prefer to be first in the league and not having this record.
"They have a great team and everybody knows that", the France midfielder said.
"We believe we will get better, we will improve. They've done good this season". "It doesn't give us anything". "At the moment you don't do it", stated Mourinho, who will look to avenge two defeats against his former team on Sunday.