The Blues striker's Spain international team-mates are set to join him at Stamford Bridge next season and he welcomes the extra competition for his place up front
The ex-Arsenal midfielder confirmed his switch to Stamford Bridge on Thursday, while Costa told Goal that his own transfer from Atletico Madrid is imminent.
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The centre forward told Onda Cero: "I wish [Fabregas] could have joined us a couple of years earlier.
"He is a blessing for strikers, he always looks to find that final key pass; he's the type of player Chelsea don't have."
Though Costa, who started up front ahead of Torres for Spain in Friday's 5-1 defeat to Netherlands at the World Cup, would represent a serious threat to the 30-year-old's game time at Stamford Bridge, the former Liverpool man claims that he welcomes the competition.
"People have been saying for some time that Chelsea have signed a striker and, if it's Diego, then it's very welcome," he declared.
"The level of competition at big clubs should always be very high."