The staff should willingly put you in touch with some contacts.

Which it certainly did; few willingly put themselves in the way of the Children of the Light.

Now I was willingly putting myself within reach again.

Data willingly puts himself under guard in his quarters, fearing what harm he might do to others.

We must provide for those who willingly put themselves in harm's way in the defense of our every day freedoms.

"Why would you willingly put yourself in that situation?"

"That man would not willingly put a single weapon in your hands."

I can't say I would willingly put him in the same situation again.

He strikes me as a man who would never willingly put himself in a position where others held too much power over him.

A reasonable question for someone who willingly puts himself in such predicaments is, "Why?"