Your rollover will not be considered a contribution so you can still add to it. And yes, the $4000 max is of any combination between the Roth and the rollover.
One thing you should make sure of also is that you're doing a direct transfer or "trustee-to-trustee" transfer when moving the money. That way the funds will not be distributed to you but go directly to the company where your rollover IRA is established.
If you do an indirect rollover, where the annuity plan from your old employer writes you a check, they'll withhold a mandatory 20% income tax withholding. You'll have 60 days to deposit the remaining funds into a rollover IRA and if you can't come with the extra 20% that was withheld in that same 60 days, that amount will be treated as a taxable distribution.
In other words, make it easy on yourself and make sure you're doing a direct transfer.
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The easiest thing of all is to deceive one's self; for what a man wishes, he generally believes to be true.
- Demosthenes
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