Is it true my workers comp does not have to pay me for loss income unless I am out of work for more than 5 days?

I was hurt on the job at my work. The doctor told me to stay out off my leg for 3 days then come back to see her. My work told me they do not have to pay me (workers comp) unless I miss at least 5 days of work so I would have to use my sick days or vacation days . Is this true? What I have read is workers comp has to pay me for any income loss do to my injury at work.