His actions could lead to him losing his job.

[yi-ing]

Is the underlined part mandatory or optional?

His actions could lead to him losing his job.
His volunteer work in the hospital led to him becoming a nurse.

 

[jutfrank]

Whether necessary or not, I think the sentences are better off with him or his.

 

[Tdol]

If you retain something there I would change 'him' to 'his'.

They both sound OK to me.