Hi embliek,
Welcome to the Mattress Forum!
No, that generally would not be recommended. Most latex manufacturers will recommend that their products be placed upon a firm, flat platform bed or foundation, with spacing between the slats of 3" or less. Placing your new latex mattress on an old innerspring mattress, even though it is firm, would allow for more sag of the product than is appropriate, could prematurely shorten the life of the mattress, and would also change the feel of the product.
If you desire the bed to be a higher profile, you can look at some of the KD foundations listed early in post #1 of this thread, and there is more complete information about proper foundations for latex mattresses there as well.
Phoenix