Distributing the Leads to My Open Tasks

Hi Experts,

We are working with CRM WebUI. We have option of distributing the leads to employees via Distribute process in the Lead Header.

We would like to receive the distributed lead on the employees My Open Tasks List once employee has been selected in the distribution process.

Please note employee BP has already been assigned the user name i.e. SAP User Name.

Do we have any standard workflow or BAdi which can help me achieve this?

Best wishes, Sanjay