Gene duplication has different outcomes: pseudogenization (death of one of the two copies), gene amplification (both copies remain the same), sub-functionalization (both copies are required to perform the ancestral function) and neo-functionalization (one copy acquires a new function). Asymmetric evolution (one copy evolves faster than the other) is usually seen as a signature of neo-functionalization. However, it has been proposed that sub-functionalization could also generate asymmetric evolution among duplicate genes when they experience different local recombination rates. Indeed, the low recombination copy is expected to evolve faster because of Hill-Robertson effects. Here we tested this idea with about 100 pairs of young duplicates from the Drosophila melanogaster genome. Looking only at young duplicates allowed us to compare recombination rates and evolutionary rates on a similar time-scale contrary to previous work. We found that dispersed pairs tend to evolve more asymmetrically than tandem ones. Among dispersed copies, the low recombination copy tends to be the fast-evolving one. We also tested the possibility that all this was explained by a confounding factor (expression level) but found no evidence for it. In conclusion, our results do support the idea that asymmetric evolution among duplicates is enhanced by restricted recombination. However, further work is needed to clearly distinguish between sub-functionalization and neo-functionalization for the asymmetrically-evolving duplicate pairs that we found.