The 45-year-old actor praised the Oscar-winner saying they are lucky to have her in the movie, reported People magazine.
"We were lucky to get her. Everyone in Hollywood is trying to get Alicia in their movie right now," Damon said.
"The Martian" star feels the Swedish actress' talent has no boundaries and she is versatile enough to surprise people with her choice of roles in the future as well.
"I just think of these once-in-a-generation actresses who kind of explode onto the scene and what strikes me about her is I can't see where her limits are.
When asked if there is anything people should know about Vikander, 27, but are not aware of yet, the actor said with a laugh, "If I knew something that people don't know, then they shouldn't hear it from me.