Rub off
Definition 1 of 2
Pro Tip 1/3Emotional Influence
Used when someone's mood or behavior starts to affect another person. 
After spending time with her, his optimism began to rub off on me.
Pro Tip 2/3Proximity Required
Usually happens when spending time closely with someone else. 
Working with creative people, their innovative thinking might rub off on you.
Pro Tip 3/3Subtle Transformation
The change is often gradual and not immediate. 
You'll find that his calmness will slowly rub off on the team.