The invention relates to the field of analgesics. According to the invention, a kit or composition, particularly a pharmaceutical composition or a pharmaceutical kit, is provided, comprising a nanocarrier which is a hyperbranched polymer, such as a dendritic polymer or dendrimer, preferably having a molecular weight of 1,000-100,000 g/mol, and an analgesic which, when administered without nanocarrier, has both peripheral and central analgesic effect, preferably an opioid such as nalbuphine. According to the invention, the analgesic in this composition mainly or exclusively has a peripheral effect and thus reduces side effects triggered by the activation of central or intestinal opioid receptors. It is used for the treatment of peripheral pain and/or inflammation. The invention also relates to particularly suitable nanocarriers.