The 25-year-old defender has now finished his contract in Oakwell, and Huddersfield are hoping to agree a deal with the Sky Bet Championship side.
Yiadom will become Huddersfield's 11th signing of the summer ahead of the new Premier League season.
"There is nothing to announce yet, but it looks like it is progressing. We already konw we have some new faces and we are very lucky and happy to have been able to make signings early and have them work with us in pre-season", head coach David Wagner said.
Yiadom made 32 Championship appearances for Barnsley last season, and he also played for his national side Ghana.