Possibly ,again depends on how much power the amp delivers. Although the pre-amp section in your integrated can most likely amplify the signal from the CD player to the amp section, so my above thought probably isn't an issue.
Might want to consider a pre-amp vs. driving the cd player into the amp. Most CD players only have the ability to output a max of 2 volts. I think this would give your system more 'energy' as opposed to a cable swap.