The 26-year-old was forced to sit out Argentina's 2-1 victory over Italy on Wednesday in Rome, after picking up a thigh strain during Barcelona's pre-season tour of the Far East.
Messi has been focusing purely on rehabilitation work with the club's medical staff during the week in order to be fit to feature at Camp Nou on Sunday.
"Messi is very enthusiastic," Martino said in a press conference ahead of the game.
"He has been working hard during his holiday. There are always records to break and trophies to win."
He missed his national side's 2-0 win over Ecuador in Guayaquil on Wednesday, but has been given the green light to feature on Sunday.
"Puyol is recovering as planned," he continued. "We're waiting for him to join us. We expect him to be able to play in September.
"Last year's defensive problems were linked to injuries. If all players are fit, we have options."
