Safety Tray Matthews, defensive end James Deloach, defensive lineman Jonathan Taylor and receiver Uriah LeMay were each charged last week with multiple counts of theft by deception for "double-dipping" student tuition checks.
Richt said he's not "putting anything out of the realm of possibility," with their discipline including dismissal.
Richt did address the status of two other players who were arrested since November.
On wide receiver Justin Scott-Wesley, Richt asked reporters Tuesday: "What do you know about Justin?"
Told about his Nov. 1 arrest for possession of marijuana, Richt said: "Is that what he had? We'll stay with our policies on that."
Georgia Athletic Association policy calls for a suspension of 10 percent of the season or one game in football for a first offense of its drug policy. Scott-Wesley is coming back from a torn ACL sustained in October,
As expected, Richt said cornerback Shaq Wiggins won't face a suspension for his Jan. 12 arrest for driving on a suspended license.
"No, there's not going to be anything on Shaq's deal," Richt said.
Bulldogs deal with elements
It certainly was a hot chocolate day for Richt.
At his postpractice news conference, he usually drinks a cold sports drink or a cup of hot cocoa depending on the weather.
With gusty winds and temperatures in the mid-40s and feeling colder, it didn't feel much like spring practice on Tuesday when the Bulldogs held their first full pads practice.
"I was really pleased with the energy," Richt said. "It probably had a little something to do with it being a little cold and windy and everybody wanting to keep moving."
Richt said the wind made it hard to complete some passes.
"I was about ready to give them a positive grade just for throwing to the right guy because the ball was getting blown all over the place," Richt said.
Georgia scrapped its video crew from going up in lifts to film. They instead shot from a track tower and the Butts-Mehre patio deck.
Permanent structures will be ready to use in May that can better handle windy conditions, Richt said.
Players expect to be challenged by Rocker
The new Georgia defensive line coach already had quite a reputation to the players he's working with now for the Bulldogs.
Some were recruited by him when he was on staff at Auburn in 2009 and 2010.
"Everybody pretty much knew who he was because of the history of Auburn," senior nose guard Mike Thornton said. "He was in the stadium for the longest at Auburn. Everybody that got recruited here got recruited by them so we kind of knew the track record."
Rocker was a two-time All-American at Auburn, where his awards included the 1988 Outland Trophy.
"One thing he's told us is he's going to demand greatness from us," defensive end Ray Drew said. "That's one of his big things especially his background being a former All-American, a Lombardi Award winner, he's going to challenge us to be great and if we don't want to be pushed and challenged to be great then we were in the wrong room. I like the fact that's his attitude. He wants the best for his players."
Rocker addressed Georgia fans on national signing day.
"I'm glad to be a part of this family," he said. "The most important part is I'm glad to be a part of a great tradition. That's what's important about this deal and the most important thing is we get this thing back rolling on defense the way you like it, the way coach Richt likes it and the way I love it."
This and that
Add another injury to Georgia's receiving corps. Walk-on Michael Erdman sustained a broken right foot, presumably knocking him out for the rest of spring practice. Georgia just lists him as out on its injury report. He had three catches for 28 yards last season.
Inside linebacker Paris Bostick was limited to running Tuesday with a hyperextended right knee. Richt said he hopes the redshirt freshman will be able to go Thursday when Georgia practices next.
Richt said offensive line coach Will Friend "was not a happy man," with the showing by his unit during Tuesday's practice.
The team is scheduled to hold its first spring scrimmage on Saturday.