Climate migration (climate refugees) has been debated in Sweden and globally over the past few decades. This paper is a critical discourse analysis of the presentation of climate migration in Swedish news media, using Fairclough's three-dimensional model as the foundation. The study aims to identify and analyze the different discourses surrounding climate migration that are presented in news media. This critical discourse further intends to analyze how these discourses are constructed in news articles. By reviewing seven articles from various Swedish newspapers, we have identified three discourses within the phenomenon of climate migration. These discourses revolve around portraying climate migration as a problem, a potential solution, and a complex economic injustice. Based on constructive journalism, the discourses are constructed both with a negative and consequence-focused approach but also emphasize solutions that advocate a humanitarian point of view. Furthermore, we have identified that these constructions advocate an impatience regarding the situation directed towards those in position of power.