The La Liga giants came into the Copa del Rey semi-final first leg on the back of a rare loss after being beaten by Valencia.
That 3-2 loss led to a nervous display against Sociedad, with Martino describing it as a risk-free display.
"A good game, we didn't take any risks. We were a bit apprehensive because of Saturday's game against Valencia," Martino said.
"We scored twice, probably thanks to chance and not because of how we played."
Martino said his team's finishing was costly against Valencia, while they never created enough to kill off the Copa del Rey tie.
"In the match against Valencia, in the first half, we played well but we didn't finish off well," he said.
"Today we didn't dominate to the point that would allow us to think we could have killed off the tie."
"I'm not worried about Messi scoring goals," Martino said.
"He had three clear chances today, and one of them the 'keeper saved from point blank range – he'll score again soon."
