See also Philippians 2:13:
... for it is God who works in you, both to will and to work for his good pleasure.
Yes. This fits with "faith working through love", I can see. Because our faith has us with God who works in His love in us.
I personally understand that if God works in us "to will", then this means that God takes the initiative to get us to will to do what He wants. He "starts" our will for doing whatever is in His love. He converts our will to become willing in His love.
So, we are this dependent > "Not that we are sufficient of ourselves to think of anything as being from ourselves, but our sufficiency is from God," (2 Corinthians 3:5)
We have our own wills, yes, but we are not sufficient to get our wills to choose what He wants. But this is good, that we share with God in doing what He desires; we are not on our own

We are in His own love while we do what He has us willing and doing (Romans 5:5, 1 Corinthians 16:14).
And good news is that though we were willing but failing, in our own freedom of will, now with God we have Him succeeding in getting us to will but also then doing what He has us willing; because He succeeds in us

and we are not bleeding in our failure.
And since this thread is about Martin Luther, did he get into this? And is this what you understand Philippians 2:13 to mean?
Do we somehow desire to cooperate with how God works in our wills, or is His work against resistance of our will's human and sinful nature? I consider that work is against resistance, but God's working transforms us (Romans 12:1-2) into being submissive (Colossians 1:28-29).