Delay receiving emails

Hello,

I have seen related topics before, but my issue seems to be slightly different. Just today I was able to migrate to Zoho, and I got a few new ones (I migrated from a my host mail, powweb.com/mail which uses squirrelmail). So I checked my Zoho inbox and had none, and then went to my previous account and had 2. How come these to emails did not make it to Zoho? How long does it take?

Thanks