Chelsea have been heavily linked with a move for former Barcelona boss Enrique.
And Don Balon suggest Morata is worried that appointment could see his game time limited.
The 25-year-old is well aware that he was signed last summer at the request of Conte.
And he believes not suiting the style of Enrique or potential assistant Juan Carlos Unzue could come at a cost.
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Spain international Alvaro Morata joined Chelsea from Real Madrid last summer
Alvaro Morata shares a dance with STUNNING wife Alice
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Luis Enrique wants Juan Carlos Unzue to be his assistant if he moves to Chelsea in the summer
Morata may not end up having to convince Unzue of his striking quality though.
Don Balon suggest the former Barcelona coach is happy as manager of Celta Vigo and might not follow Enrique to Chelsea.
Chelsea are not the only club thought to be keeping tabs on Enrique as the season reaches a critical stage.
Paris Saint-Germain are believed to have their eye on him too in case they get rid of Unai Emery.