The goalkeeper returned to Bayern Munich this summer following a two-year loan at Monaco and Leeds boss Daniel Farke has been keen on him.
Leeds are missing out on the 26-year-old though and in a sign of just how keen he is to join Stuttgart, he has accepted a huge salary cut.
Nubel will earn €3m per year at Stuttgart, according to German daily Bild (via Fussball Transfers), which is half the €6m he would have taken home at Bayern Munich.
He will join on a season-long loan deal and Stuttgart will not have an option to buy included in the agreement.
A medical is set to take place on Tuesday, as Nubel moves to put the finishing touches to the switch.
Leeds meanwhile remain in the hunt for a goalkeeper and have also shown interest in Newcastle United’s Karl Darlow.
A question mark also remains over Leeds goalkeeper Illan Meslier, who has been widely tipped to leave Elland Road this summer.