Ok, it depends on what channels you have. Usually the public vs private channel thing is confusing unfortunately... if you get an inbound PRIVATE channel from an LSP, then you should be able to receive immediately.. but if you get in inbound PUBLIC channel, then you can't receive until 6 block confirmations... actually PUBLIC channels can be unpredictable... some senders won't be able to reach you for several hours... basically with PUBLIC channels, knowledge about the channel has to propagate across the network....
