Which 2.0 and where (which country) are you?
Suzuki started fitting the H20A (a 1998cc, quad cam, 24 valve, V6) to the Vitara, I believe as early as 1995, however, I don't think this vehicle was available in North America (I know it was sold in the UK and the Caribbean), the J20A (a 1995cc, DOHC, 16valve, I4) was available in 1998 in some parts of the world in the Grand Vitara, and was released in 1999 in North America in what is known as the second generation Vitara and the Trackers, an updated version of the J20A is still available in some markets in the GrandVitara (up to 2008).
There are also 2.0 turbo diesels in some markets - UK, European and possibly others, but not North America & the Caribbean - I'm sorry but I have no detail on the diesels, they weren't available in my neck of the world.