"We're having on-going dialogue with both guys, and we hope to get something done by early next week," Wade said. "If not, then they're more likely to go to hearings."
Geary submitted a proposed salary figure of $2.1 million, while the Astros countered with $1.425 million. Rodriguez is asking for $3 million, while the Astros proposed $2.25 million.
The Astros have already settled with their other four arbitration-eligible players: Brandon Backe, Jose Valverde, Humberto Quintero and Tim Byrdak.
In other news, Wade said the club has offered a Minor League deal to infielder David Newhan and is waiting to hear his decision. Newhan, 35, was a non-roster invite with Houston last year and spent 64 games with the Astros, hitting .260 with five doubles and 12 RBIs.
Alyson Footer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.