Then you probably want to consider the approach suggested above.
This approach is not bullet-proof, though, as there are issues about paystubs that may require some very creative resolution, right from the start. However, RFE asking for EVL and paystubs so early in the game is unlikely.
I would just concentrate on keeping the end date with old employer and start date with new employer legal, and try and have the ability to prove I was drawing the LC-stated salary from the old employer too... but as I said, that is conservative planning, given that the filing is only 3 months old.
There would still be a problem if old employer goes out of business earlier than another 3 months, and someone at BCIS spots that (maybe due to another application involving the same employer)... but one can rarely plan for everything!