I'm sure no sensible person would flame you for suggesting that OP's base problem looks like a design issue. Given that OP seems to have control over all the code involved OP's best option may be to refactor the code to remove the circular dependencies that are implied, or at least move the circular code into a common module so that that nastyness doesn't leak out to pollute other code.
However, assuming that the modules are currently being "used", requiring may fix the issue. OP should take a look at Using a module more than once which has some interesting and pertinent replys.
Perl is Huffman encoded by design.
