I'm a bit confused. When you use the term "shared library", are you talking about a compiled library on your system, such as a ".a" or ".dll" file? Perl modules are modules, no matter if they are "shared" or not.
Also, since you provided no source with your question, my answer is, "It depends." If the two modules are Exporters and the functions you want to call are all exported through to your program, then, yes, you would only need to use your funlittlemodule. Otherwise, you may need both modules. Unfortunately, I have so little to go on, I can't say for sure.
In the meantime, post some code and read perldoc perlmod.