If family travels to US while H-1 Transfer is in process

[tahir_lahore]

If H-1 transfer is in process, is it possible that my family having valid H-4 visa can enter the US (this will be first entry to US).
If YES, which documents they can need at entry time, old employeer pay stub, offer letter etc.?

[waitin_toolong]

yes, the info of new employer and the receipt of transfer