Should I tell my boyfriend I am on birth control?

Me and my new boyfriend have started having sex recently. So I had the DEPOP injection days after the first time to be sure. I haven't told him I've done this because he now always uses condoms because we don't want a baby right now. I like the idea of double protection against pregnancy & I've heard from friends that as soon as you go onto birth control the guys want to stop using condoms. Which I know in his case is true because he really hates them. It's more of a casual relationship atleast for right now & I don't want to take any chances. Do you think I am right in not telling him?