The American has ambitious plans for the current Premier League leader as the Reds try to generate more matchday revenue by increasing the capacity of Anfield to around 60,000.
The area surrounding Anfield is also set to be regenerated as part of a partnership between the Merseyside club, Liverpool City Council and Your Housing Group.
"We are making good progress," Henry told The Liverpool Echo. "There are a lot of different groups working very well together and that's the key to a big project like this happening, when everybody is on the same page. When everybody is on the same page, we move forward.
"I think we were clear at one point that what made financial sense was going in this direction and this is the direction that makes financial sense for the club for a long time. Obstacles are being overcome."
Previous owners Tom Hicks and George Gillett had been planning to build a new stadium at Stanley Park, while a ground share with rival Everton has also been mooted as Liverpool looks to ensure its future income.
"The previous regime were talking about going out and borrowing an enormous amount of money to build an enormous new facility," Henry added. "That's not what we're doing.
"One of their problems was that they weren't able to get financing. When this happens, financing won't be the problem. Again, we just need certainty with regard to these properties and the number of properties that are in question keeps getting reduced. The City Council is doing everything they can and that's all we can ask. Not just the city council but Your Housing and the regeneration. Everyone associated with this – we are all on the same page."