If you don't supervise others, you can still demonstrate leadership skills by practicing the work habits of good leaders:

• Be genuine and praise others when they deserve it, making sure to articulate what they did well. This is a leadership skill that helps develop talent. 
• Have clear goals for what you want to achieve in your position. This demonstrates engagement with the organization.
• Practice empathy to perceive others' needs, not just your own. Empathy shows that you value and invest in relationships.
• Be a great listener and prove it by asking effective questions. Effective questions tend to be thought-provoking, solve problems faster, and show that you can listen, learn, and suspend judgment. 
• Practice positivity with an attitude that encourages others to also be upbeat and productive.
• Identify outstanding traits in others and help them seem them too.