Yes. :) The only thing is that the final comma should be a period and the comma in the center of the sentence may be unnecessary depending on how you want it to be read.

"You don't have to boast if you're really worth the praise." Boasting can be intransitive, and makes your sentence seem more fluently written. We have a couple of idioms in English that you might like to learn as well. "Blow your own trumpet", or "toot your own horn." Here's how to use them in a similar sentence. You don't have to blow your own trumpet if everyone knows how good you are. It you're worth it, there is no need to toot your own horn.