The Evening Standard has claimed that Chelsea are close to finalising the transfer of two or three players.
Simon Johnson says manager Antonio Conte is still livid for the way the club handled the Romelu Lukaku situation.
The Italian is desperate to add four more players to his squad ahead of a long campaign in the English Premier League and Champions League.
And three of them are expected to join before the end of the summer transfer window.
"The Chelsea board are certainly working on signings," Johnson wrote.
"Insiders suggest that of the four additions they hope to bring in before the window shuts next month, two or three of them are close.
"If Conte gets the wing-back, central midfielder, attacking midfielder and striker he has asked for, then suddenly it looks a far rosier picture.
"After all, the board have spent around £132m on internationals Alvaro Morata, Antonio Rudiger and Bakayoko, with experienced keeper Willy Caballero joining as a free agent."