Oakley`s dynamic display from the middle of the park produced both goals as The Saints beat Millwall in extra-time of their FA Cup fourth round tie.
There is stiff competition in the England engine room, with the likes of Paul Scholes and Kieron Dyer amongst others in contention to face Australia, but Strachan believes Oakley has a good case.
"Oakley in the middle of the park was as good as I have seen this year," Strachan said.
"If anyone is getting a mention for an England cap it is him.
"He has been fantastic for us all season."
Commenting on the performance, Strachan added: "I thought our football was excellent, absolutely fantastic. We played really well in midfield.
"We got clumsy about 20 yards out (from goal) - and if we had managed to compose ourselves we could have had a few more goals. But apart from 15 minutes in second half I felt we controlled it."
