Does L2 EAD process which is in progress will impact if H1B visa transfer starts in current situation


Currently, I am in US on L2 Visa, and applied for L2 EAD which still in process. Also, having approved H1B visa with previous employer. My question is that if some employer is interested to transfer my H1B visa and if this process starts before getting L2 EAD approved then will this H1B transfer process impact L2 EAD process?