M.R.
With POPs (progestin-only pills) you should make sure that you are being very, very careful with how you take them. You should take them at the same time, every day and DO NOT skip one! If you miss one or you are a few hours off, use a backup method.
In most normal cases, you should be able to depend on the POP as your method of birth control after you make it through one pack of pills. If you don't want to take any chances, either remain abstinent through the first pack or use a backup method. Also, with POPs, many people still don't get their period, so be aware of that too (the lactation amenorrhea may be a factor).