Or better yet, separately create one big model (or even sub-chunk it) of ALL the same animated tiles together.
(All the lava would be one model, water another, etc).
Then draw the entire lava model (at location 0,0 if that's where your world is), which would fill in the holes.
If each animated tile quad was uv mapped to an animation frame inside a texture map, then you could texture shift the entire lava model (by one frame) with a simple command, to get the animation.