If the triangle strips, while being disconnected, are all sharing the same material (shaders, textures, shader constants) then you can join them together with a degenerate triangle. Since degenerate triangles have zero area they should not show up. The only case they would is if you are drawing wireframe.
You make a degenerate triangle by defining the two of the three vertices as being the same. This is a bit complicated in triangle strips where you only use two vertices to define each triangle.
Look at the following diagram:

Triangle strip A,B,C is connected with triangle strip E,F via a degenerate triangle D. Triangle D would be defined as two points of C, then two points of E. In this way it is a zero-area triangle, but it is still connected.
You can find information on this stack overflow articlethis stack overflow article where the wireframe problem is illustrated.