The Blues welcome the Blaugrana to Stamford Bridge on Tuesday and Conte says he's hopeful the Spain international's back problems that kept him out for over a month is now past him.
Olivier Giroud lead the line against West Bromwich Albion for an hour on Monday in Morata's absence and the club record signing was afforded a 30-minute cameo in the 3-0 victory, in which the former Real Madrid man registered an assist for the final goal.
"Alvaro has been training with us regularly, every day," Conte said, as quoted via KweseESPN. "His physical condition is improving, he will be ready for the game against Barcelona in the Champions League."
"It's very important to have all your players available," Conte added. "In this case, to have two No. 9s in Morata and Giroud ... to have two options is very important for us."