Tredwell's fellow off-spinner Graeme Swann is a long way ahead of him in the pecking order, with 248 wickets to his understudy's six.
It is perhaps more conventional too for England to name the variation of a left-arm spinner as the extra option for a major tour.
But with no obvious contender in that category, after Monty Panesar's problems off the pitch and Simon Kerrigan's on it during his debut at the Kia Oval last month, Tredwell must be in the frame when England's selectors meet next week before announcing their squad.
Tredwell first has important assignments against Australia in the NatWest Series, at Cardiff's SWALEC Stadium on Saturday and then in Southampton on Monday.
Invited to look slightly further ahead than the ongoing one-day international series - which stands 1-0 to the tourists with two to play - he is cautiously optimistic about his winter prospects.
"It's always nice to be around the environment, and if you do the right things you can put your name in the ring," said Tredwell.
"But it's a totally different form of the game, so that's out of my hands really.
"It's evident for all to see there are opportunities available, and you just try to do your best and hope your name gets picked out."
Tredwell came in for some unaccustomed harsh treatment at the hands of Australia's batsmen in their 88-run win at Emirates Old Trafford last weekend.
He nonetheless relishes the challenge to put one over on them this time, as part of an England attack whose balance has been criticised in this series.
England have fielded only three tried-and-tested frontline bowlers - Tredwell and new-ball pair Steven Finn and Boyd Rankin - leaving the other overs to be completed by all-rounders and part-timers.
Tredwell, however, is happy to defend that policy.
"You say only three specialist bowlers ... I think the guys who are bowling for us have done pretty well," he said.
"Certainly Ravi (Bopara) has been a good performer with the ball both for Essex and England, and Stokesy (Ben Stokes) is showing what he can do with the ball - for Durham, and I'm sure he will in this series.
"The guys who are filling those roles have (done) and will do good jobs for England."