RSU brokerage transfer reporting 1099-B

My employer changed the RSU brokerage from Morgan Stanley to Fidelity in 2020. Some of my old vested shares were transfer from Morgan Stanley to Fidelity. I believe the shares were first sold in the old brokerage and brought back in the new brokerage during the transfer process.

 

I did not trigger these sells and buys. Currently these shares are still not sold in my new brokerage account after the transfer was completed.

 

Do I need to report these brokerage transfer sells and buys in my 2020 tax return? 

 

If so, would it be similar to reporting another 1099-B? 

 

Thanks.