Grid-forming control enables power converters to operate as controlled voltage sources behind an impedance. In this context, grid-forming converters can be broadly classified into two main types: those employing an inner current-control loop (CC-GFM) and those employing direct voltage control without an inner current-control loop (VC-GFM). Since voltage-source operation has recently been identified as essential for grid-connected converters in the newly published ENTSO-E and UNIFI grid codes for grid-forming generators, VC-GFM is inherently well suited to meet this requirement. In contrast, CC-GFM incorporates a current-control loop that directly enforces current limitation. Its performance strongly depends on the method used to generate current references during transients. These current references are typically generated by a current estimator. In this work, a dynamic estimation model (DEM) combined with a transient virtual resistance is proposed as an alternative to the quasi-static estimation model (QSEM) widely adopted in CC-GFM applications. The proposed approach demonstrates that the operation CC-GFM can closely emulate the small-signal behaviour of an ideal voltage source, as exhibited by VC-GFM architectures. Using both a single-unit infinite-bus (SUIB) configuration and a two-converter system connected to a weak grid, the responses of the proposed DEM-based CC-GFM, QSEM-based CC-GFM, and VC-GFM to small disturbances are compared. The electromagnetic transient simulation results demonstrate that the proposed DEM-based CC-GFM exhibits behaviour closely aligned with that of VC-GFM and outperforms the QSEM-based CC-GFM in terms of small-signal stability.