How to extend an interval to a circle in $\mathbb{R}^2$

Question

Let $$\gamma : [0,1] \rightarrow \mathbb{R}^2$$ be a $C^0$ imbedding. How can I show that there exists another imbedding $$\eta : [0,1] \rightarrow \mathbb{R}^2$$ with $\eta ((0,1)) \subset \mathbb{R}^2 - \gamma [0,1] $ and $\gamma (0)= \eta (1), \gamma (1) = \eta (0)$? Thank you for yor help!