H1 to H4 COS in progress and H1 transfer possibility??

Hello I was on H1B visa (With I94 approved until July 2019) until May 2018 and on June 22, 2018 I filed for H4 COS. I got the receipt and the case is in Progress. If I get a job, can the new employer transfer my H1B while H4 COS is in progress? Will the case be cap exempt?