python - Locking the frame rate in pygame?

I am having trouble setting up the frame rate in my first game. I know that I can set it up with

clock = pygame.time.Clock()

clock.tick(60)

but this is not producing very desirable results. If I move a character 1 pixel per frame, it will move smoothly but jitter about once a second. If I print(clock.get_fps()) it tells me that my frame rate is about 59.8. Since it never hits 60, it never syncs up with my monitor's refresh rate and the annoying jittering continues.

That I know of, this is not a problem with the game's performance, since it is in a very early stage of development. If I cap the FPS at 1000 then I can get a maximum FPS of about 270.7. Is there any way I can give my game a continuous frame rate of 60?

P.S. I don't mind that my movement code is tied to FPS. I tried making it FPS-independent using this code, but this introduced some floating-point inaccuracies to my movement. It wouldn't let me set the FPS to exactly 60, either.