The Reds lay sixth in the table but could leapfrog fourth-placed Arsenal if they win their outstanding matches.
And former Arsenal winger, Perry Groves has issued a condition to the German saying it is either a top four finish or the manager would have no business remaining at Old Trafford.
There is pressure on Rangnick to deliver having the likes of Cristiano Ronaldo, Raphael Varane and a host of other top stars at his disposal.
“Manchester United should be nailed on for the [top four],” the former Arsenal winger told talkSPORT.
“If Ralf Rangnick doesn’t get Manchester United fourth, he shouln’t be anywhere near Manchester United.”
Manchester United’s outstanding matches include an away game to Newcastle United and home clashes against Burnley and Wolves.