I've got a 99 and can't say I feel any difference in the gears, however, from what I've read it could be a motor or transmission mount. If it really gets better when it warms up, consider a fluid change though. Doesn't cost much particularly if you do it yourself. And while you are there you can inspect the mounts.
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1999 Boxster Zenith Blue Metallic/Savanna Beige
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