Can you put an oil based paint over a latex primer?

You can use it, but it won't last long.

Use an oil based primer for oil based paint. The oil-based paint will eventually break down the latex primer.

Latex can be painted over oil-based primer, but not the other way 'round.

Kilz is your best bet for priming over wood cabinets. Kilz hides things like knot holes, burns, water damage, etc.

If your cabinets have knotholes, I would dab the knotholes with primer, let dry, then paint everything with your particular primer. A quick scuff with 150-grit sandpaper would be a good idea also.

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