H1-B status - can i travel on AP while AOS is pending?

[Sophya]

Hello,
I am currently on H1B status (due to extending it within the US) and want to travel out of the country once my AP arrives (it was approved this week apparently).
I dont have any plan of getting my H1 restamped in a foreign country, esp Pakistan (which is where I want to go) which is why havent travelled so far obviously. If I travel on AP, will i be allowed to re-enter on my H1B status, or would a visa stamp be required for entry? If yes, would I maintain H status after entering or will I have to forsake that and start on EAD?
Although my EAD has arrived a week ago, I want to keep my H1B status for now, in the event of any problem with my Eb1/EB2 self petition application. At least thats what my employer is advising me. (Still have to get to my attorney about this.)

Any advice is appreciated! thanks!

- Sophy.

 

[manwithnoname]

There are no clear cut regulations but if you stick to the same employer and extend your H-1B after returning to the US then you can still maintain the 'H' status.