Yes Tire Slime is formulated and safe for use in tires on vehicles that have TPMS or Tire Pressure Monitoring Systems.
After adding the tire slime tire repair sealant to your vehicle tire you should drive at a slower speed if possible and drive for around 5 miles to allow the tire sealant to seal the tire properly.
Tire sealant can help fix a tire for a short time however it's best to get the car to a tire repair shop and have the tire properly patched to avoid any other flats.
Let the tire shop know about the slime in the tire so that it won't cause any problems as it becomes a safety issue to the tire repair shop person who changes the tires if they do not know about the tire slime.
But if you let the tire shop know about the tire slime they can work safely with changing the tire or repairing the tire.