Upgrade Question about pens

I have an S5 and am considering upgrading to the Note 4. The Note 5 doesn't cut it because of the lack of removable battery and microsd slot, and all I want is the larger screen, OIS, and the stylus. I had a Note 2 and loved it, so the Note 4 seems the only logical upgrade path. Oh, and I want a broadcast FM receiver, which lands me at a Sprint Note 4.

My question is, will the pen for my Lenovo Thinkpad x61 tablet work with the Note 4 screen? It will be much more comfortable that the toothpick stylus of the Note series.

Thanks
Keith