For more informations, I have tested Minify (with APC backend and Disk backend), the 2 options works fine.
Some informations about the server : Apache 2.2.9 MPM Worker, FastCGI, PHP FPM 5.3.6, APC 3.1.9
All seems to work now for me (Minify HTLM, JS, CSS and compression).
Thanks for the fix.