Asynchronous Many-task (AMT) runtime systems gain more and more acceptance for HPC applications. At the same time, the C++ standardization efforts currently focus on creating higher-level interfaces usable to replace OpenMP or OpenACC for modern C++ codes. Both trends call for a migration path for existing applications that directly or indirectly use OpenMP allowing moving parts of the code to the AMT paradigm. Additionally, an AMT implementation is not yet available for most existing highly optimized OpenMP libraries. For these reasons it is beneficial to combine both technologies, AMT+OpenMP, where the distributed communication is handled by the AMT system and the intra-node parallelism is handled by OpenMP or even combine OpenMP and the parallel algorithms. Currently, these two scenarios are not possible, since the light-weighted thread implementations present in AMTs interferes with the system threads utilized by the available OpenMP implementations. To overcome this issue, hpxMP, an implementation of the OpenMP standard, which utilizes HPX’s light-weight threads is presented. Four linear algebra benchmarks of the Blaze C++ library are utilized to compare hpxMP with clang’s OpenMP. In general, hpxMP is not able to reach the same performance yet. However, we demonstrated viability for providing a smooth migration for applications but have to be extended to benefit from a more general task-based programming model.