England needed just half an hour to wrap up a comprehensive 192-run victory early on the final day of the four-day tour match at Adelaide Oval.
The Somerset paceman took one of the three remaining wickets to fall to finish with three for 15 off 11 overs to share the wickets among the pace battery.
Overton is now firmly in line to make his Test debut at the Gabba for the opening Test of the series on November 23 and insists he is ready for the task.
"It's still a work in progress. It's just finding that rhythm over here and I'd prefer to be over-cooked than under- cooked going to Brisbane."
On his chances of cracking a spot in the England Test XI, Overton said: "You're never quite sure, you just keep on doing your thing and try not to worry about it too much.
"If you get a call up then happy days if not I will be supporting the team as much as possible.
"I'm just making sure I bowl the best I can when I get a chance and hopefully that will be good enough. I'm confident it will be."
Anderson, who is now the new team vice-captain in place of the suspended Ben Stokes, said he has been impressed with Overton's efforts on tour.
"He's a big lad, gets plenty of bounce and he's very skilful too," England's all-time Test wicket-taker said.
"He can swing the ball, seam the ball and he brings something different to the team. He's settled in really well."
"I think their batting is vulnerable, absolutely, especially with no Stokes at six or seven," Harris said.
"But it depends on how our boys bowl at them. If we're loose and wide then we won't have them in any trouble.
"We've got some good intelligence and knowledge on England and I'll pass that on to our bowlers."
Australia are delighted that England's big two batting hopes, Joe Root and Alastair Cook, have not really fired on tour yet, the new captain having made one half century in his three innings and the former one having suffered three failures.
"You've got Alastair Cook too who knows these conditions pretty well so if you take the best two out it's always going to be hard. That's what I'm sure the Australians are trying to do.
"I think Cook looked a bit rusty. He's had a good county season but it's different in our conditions."
England head to north Queensland on Sunday for their final Ashes warm-up game against the CA XI yet again, starting in Townsville on Wednesday, before the opening Test in Brisbane.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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