I'm not an expert by any means, but it didn't take much to find an article that supports this idea:
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We find that the increased supply of non-EU low skilled immigrants pushed native workers to pursue more complex occupations. This reallocation happened mainly through movement across firms. Immigration increased mobility of natives across firms and across municipalities but it did not increase their probability of unemployment. We also observe a significant shift in the native labor force towards complex service industries in locations receiving more immigrants. Those mechanisms protected individual wages from immigrants competition and enhanced their wage outcomes. While the highly educated experienced wage gains already in the short-run, the gains of the less educated built up over time as they moved towards jobs that were complementary to those held by the non-EU immigrants.
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http://www.slate.com/blogs/moneybox/2013/08/29/immigration_a...
http://www.hks.harvard.edu/fs/gborjas/publications/journal/J...