And report one of Rangnick's first bits of business at Old Trafford in January could be to move for Haidara again.
The 23-year-old has previously said he would love the opportunity to play for the Red Devils.
In 2019 he told : “I like Manchester United very much and watch as many games as possible. I dream of playing there. ”
Haidara was signed by Leipzig as a replacement , who joined Liverpool in 2018, and his box-to-box playing style could boost United's suspect midfield.
The Malian made 31 Bundesliga appearances last season and bagged three goals.
The Mirror report says United might face competition from Newcastle in signing the star, who has a £33m release cause in his contract.
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We reported yesterday how Rangnick had arrived in England to finalise his move to the Red Devils until the end of the season.
The 63-year-old German looks set to leave his current job as head of sports and development at Lokomotiv Moscow, having only signed a three-year deal in July.
United parted ways with Ole Gunnar Solskjaer last week after demoralising recent defeats to Watford, Manchester City and Liverpool.