Request with both Approval and No Approval

Hello,

Here is my situation :

I have 2 applications : one need an approval, and the other need no approval.

If I would like to allow access for those 2 applications in the same request, I have to wait that the approval request is perform before the fullfilment can be done.

But I would like that the fullfilment could be executed with no delay for the application with no approval with other and not wait that all approvals are done 

Thanks in advance,