Headphones that reduce sibilance?

I have a problem that when listening to my portable DVD player and listening through headphones, there seems to be a lot of sibilance - the 's ' sound sounding harsh and hissy, like a ' sssss ' - and when listening at anything above a moderate volume, it becomes distracting . I can't remember noticing this on previous DVD players I had and listening to my laptop with the same headphones there's still this slight effect, but not as much. I've tried two different pairs of headphones with the DVD player and there was no difference - am I right in thinking this is an effect coming from the DVD player rather than my headphones? This is maybe a stupid question, but are there any headphones that would kind of cut down this sibilance effect, or if I tried more expensive headphones, would there be likely to be less sibilance when using them? - or if this is a related to the player, will this effect still be there no matter how ' good ' the headphones I use are?

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