Do both sentences mean that piece of work has to be done quickly?

[Kohyoongliat]

Please complete this piece of work urgently.
Please complete this piece of work on an urgent basis.

Do both sentences mean that piece of work has to be done quickly?

Thanks.

[Torsten]

The first sentence is correct and has the meaning you refer to. The second sentence sounds odd because “on an urgent basis” is not used by native speakers.