H1B multiple change of Employer

Hi All,
Much appreciated if someone can provide some insight on this .I am currently in USA and I got offers from multiple employers .
Employer A initiated visa transfer two days back ,and employers B will likely be initiate the visa transfer sometime next week ,if I allow both of them to initiate the visa transfer one after another will it causes any problem now or in future ? and are there any chances for RFE during the visa transfer process.
I know it’s not ethical to do it ,but keeping the current market situation in consideration ,I have to go with that .
Note : so far I havn’t signed on I-9 .


No issues.

Not because multiple employer filed for H1B transfer. It may be due to other reasons though.

Thank you Kalpesh ! !!