The 27-year old Houston Dynamo defender has been linked with a summer move to the Potters for weeks now but there have been complications in getting international clearance as he is not a regular USA international.
However, Stoke chief executive Tony Scholes is of the belief that a deal will soon be complete once the visa is sorted out.
"We wouldn't have come this far and worked as hard on getting the deal done if we didn't think we had a good chance of getting a work permit," Scholes told the club's official website.
"Ideally, he would have had more international caps, which would have made it easier. But the fact that he is a first choice in the US national side will count in his favour.
"Ironically, two other important factors are the difficulty in getting the deal done, because the MLS didn't want to lose one of their best players, and the move by another Premier League club to come in for him and make it difficult right at the end of the negotiations.
"It should also work in our favour that Geoff has been in the MLS All Stars XI three times in the past five seasons, voted by his peers as one of the best. In those other two seasons when he wasn't selected, one was his rookie year and the other he was injured."