Systems and methods related to partial interlace frequency domain resource allocations for uplink transmissions from a wireless device are disclosed. In some embodiments, a method performed by a wireless device comprises receiving a resource allocation for an uplink transmission that allocates resources in one or more partially allocated interlaces and performing an uplink transmission on the allocated resources in the one or more partially allocated interlaces in accordance with the resource allocation. In this manner, a low-complexity approach to support flexible frequency domain resource allocation is provided. In addition, using this approach, an interlace may be shared by two or more wireless devices, which may increase spectral efficiency and reduce latency.