Right signal not working

I've got a problem with the turn signal lever on my 1992 Grand Prix. It flashes once, but won't continue to flash unless I apply a little pressure to the lever or the wheel is turned slightly to the right and is exactly at the right position.

Is there an easy fix for this, or will I have to replace the entire lever and turn signal switch. Has anyone else had this problem?

1992 Pontiac Grand Prix LE, 3.1 L, 4-Door with cruise

Thank for any advice.