Recently, an excess of high-energy positrons in our Galaxy has been observed by AMS-02. The spectrum obtained can be best fitted with the annihilation of ∼TeV dark matter particles. However, recent analysis of dwarf galaxies by Fermi/LAT observations highly constrains the TeV dark matter annihilation cross section and rules out the bb¯ and all the leptophilic channels except the 4−μ channel. In this article, I show that the remaining possible 4−μ channel is also ruled out by using the observational data from cool-core clusters. Therefore, all the leptophilic channels that can account for the excess positrons seen in AMS-02, HEAT, and PAMELA are ruled out. Copyright © 2015 American Physical Society.