Found this TSB on NHTSA site regarding the issue I am having with my new Discovery.
Issue started 20 days new and 600 miles.
As of today it has been in the dealership for last 30 days.

My dealership has swapped out 2x transmission oil pans and a new transfer case.
Yesterday I was informed that it now needs a new transmission which is currently on national backorder status.

If your DV is having similar issue, please check if your VIN matches to the range below.

January 3, 2018 MANUFACTURER COMMUNICATION NUMBER: SSM73709 ATTACHM
Components: POWER TRAIN, EQUIPMENTNHTSA ID Number: 10130711

Manufacturer Communication Number: SSM73709 Attachm

Summary

Issue: Oil leaking between the automatic transmission and transfer case assemblies which in some instances is being misdiagnosed potentially leading to repeat repairs, for example leaks incorrectly being identified as coming from the rear transmission oil seal or oil pan. Oil weeps through the aluminium casing in the rear extension housing of the transmission in the base of the pocket around where the steel D clutch steel tube is embedded. Affected Vin Range

(LG) Range Rover: 347117 - 378677

(LW) Range Rover Sport: 148715 - 179554

(LW) Range Rover Sport: 683503 - 695139

(LR) Discovery: 013353 - 046041

 

mine is within those numbers, and recently found a drop of oil in the garage floor!

 

Stick a large piece of cardboard under the truck after a nice drive. Any HVAC condensation will evaporate clean and only oil left behind.
The collection spot is the lowest point of the exhaust pipes which is in line with the door mirrors. Bring that to the dealer for reference too.
Insist they do a road test after they attempt any repairs because transmission needs to build up pressure to push fluid out of the pores of the metal casing.

Good luck. I hope your dealership will provide better loaner vehicles. I have been driving a Discovery Sport SE for a month now. (Hornburg Santa Monica)

 

Instafob, mine went to the dealer today!! Will let you know what will be the resolution! Did you get a loaner immediately??

 

Hornburg Santa Monica has Enterprise Car Rental handle their loaner program. I have been driving their loaner Discovery Sport SE for 30 odd days now. According to my SA, my transmission is due to arrive on June 19th. Their typical choices of loaner cars are Jaguar XE / XF / RR Evoque / Discovery Sport SE

Buy a Disco and drive a Disco Sport SE .... The Land Rover experience haha

 

D5 at the Service department since last friday and the only update i have received so far is that the SUV is soon to be checked and they will contact me with next steps!!

 

Got this from the Topix Land Rover Website, mine was confirmed with the symptom and is now awaiting for a New Transmission.

 

 

Have to say that your event helped a lot to quickly address the issue...hope to get mine soon!!

 

Got my car back yesterday with the new transmission and no leaks!