Does Nikon D7000 MOV workable in FCP 6?

I'm having an audio/video sync problem when converting my Nikon D7000 h.264 video with a freeware and using in FCP 6. The video appears delayed 2 fps behind the audio after converting. Is there anyone recommend me a program which enables D7000 MOV workable in FCP 6.

MOV format with Prores codec is FCP 6 preferred video. So a program which has prores codec output is greatly helpful. As far as I know, two apps can export Prores codec video. One is Clipwrap and another is Video Converter released by Pavtube. Clipwrap can't achieve your task because it only supports AVCHD videos. So please test Pavtube Video Converter to check if it is helpful. It provides free trial version in Pavtube site.

http://www.pavtube.com/video-converter-mac/

FVP supported Video Formats
MPEG-4 video;
Part of QuickTime compatible MOV videos;
Tape based DV-Standard and HDV (High Definition Video);
Tapeless Camcorder (MPEG-2, MPEG-4 and AVCHD);
Part Camera/Mobile Phone video/other video recorder devices (MPEG-1, MEPG-2, MPEG-4, H.264, 3GP, MP4);
If you can't import Nikon D7000 videos or movies into FCP, see this guide about how to import Video
to FCP for reference: http://www.video-converter-mac.org/camcorder-video-to-fcp/