Conte did not wish to explain why the club sent Michy Batshuayi on loan to Dortmund amid deepening concerns about Morata's injury.
Madrid are scrambling to build a new strike force with Harry Kane, Paulo Dybala, Mauro Icardi, Neymar and Morata on their radar.
"We are struggling to find a solution to solve the pain in his back".
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And Antonio Conte admits he doesn't know what's wrong with him at the moment and that he could even miss the rest of the season. For this reason, I'm a bit worried.
The former Juventus forward hit the ground running when he first moved to England, scoring eight goals in his first nine matches, but since then his form has significantly dipped, as Chelsea went three consecutive games drawing 0-0 last month - the first in the clubs history.
Morata replied, "I have to respect Chelsea who have made a great effort for me".
Speaking to Spanish TV, Morata was asked if he would have to think twice about returning to Real were the club to call him today and ask him to come back.
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The Spaniard last featured for the Blues in his side's FA Cup win over Norwich City on 17 January. "And I'm very happy here", he said. "You very well the importance of the player".
"But Madrid will always be Madrid". It's finished. We took a decision.
The Spanish striker has also been ruled out of West Brom's visit to the Bridge on Monday night, where the champions will look to get back on track after a run of poor performances.
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